Finding a sequence's general term [SOLVED]

[Nineshadow]

1 , 1 , 2 , 4 , 3 , 6 , 36 , 1 , 4 , 16 , 5 , 10 , 100 ...

 

If x % 2 == 0 we have :

1 , x , x^2

If x % 2 == 1 we have :

x , 2*x, (2*x)^2

 

Finding x depending on the order of the term is a bit tricky though ,especially if the result is a squared number(n%3==0).

 

Still,here are the first 10 000 numbers of the sequence , for those who are interested :

1 1 2 4 3 6 36 1 4 16 5 10 100 1 6 36 7 14 196 1 8 64 9 18 324 1 10 100 11 22 484 1 12 144 13 26 676 1 14 196 15 30 900 1 16 256 17 34 1156 1 18 324 19 38 1444 1 20 400 21 42 1764 1 22 484 23 46 2116 1 24 576 25 50 2500 1 26 676 27 54 2916 1 28 784 29 58 3364 1 30 900 31 62 3844 1 32 1024 33 66 4356 1 34 1156 35 70 4900 1 36 1296 37 74 5476 1 38 1444 39 78 6084 1 40 1600 41 82 6724 1 42 1764 43 86 7396 1 44 1936 45 90 8100 1 46 2116 47 94 8836 1 48 2304 49 98 9604 1 50 2500 51 102 10404 1 52 2704 53 106 11236 1 54 2916 55 110 12100 1 56 3136 57 114 12996 1 58 3364 59 118 13924 1 60 3600 61 122 14884 1 62 3844 63 126 15876 1 64 4096 65 130 16900 1 66 4356 67 134 17956 1 68 4624 69 138 19044 1 70 4900 71 142 20164 1 72 5184 73 146 21316 1 74 5476 75 150 22500 1 76 5776 77 154 23716 1 78 6084 79 158 24964 1 80 6400 81 162 26244 1 82 6724 83 166 27556 1 84 7056 85 170 28900 1 86 7396 87 174 30276 1 88 7744 89 178 31684 1 90 8100 91 182 33124 1 92 8464 93 186 34596 1 94 8836 95 190 36100 1 96 9216 97 194 37636 1 98 9604 99 198 39204 1 100 10000 101 202 40804 1 102 10404 103 206 42436 1 104 10816 105 210 44100 1 106 11236 107 214 45796 1 108 11664 109 218 47524 1 110 12100 111 222 49284 1 112 12544 113 226 51076 1 114 12996 115 230 52900 1 116 13456 117 234 54756 1 118 13924 119 238 56644 1 120 14400 121 242 58564 1 122 14884 123 246 60516 1 124 15376 125 250 62500 1 126 15876 127 254 64516 1 128 16384 129 258 66564 1 130 16900 131 262 68644 1 132 17424 133 266 70756 1 134 17956 135 270 72900 1 136 18496 137 274 75076 1 138 19044 139 278 77284 1 140 19600 141 282 79524 1 142 20164 143 286 81796 1 144 20736 145 290 84100 1 146 21316 147 294 86436 1 148 21904 149 298 88804 1 150 22500 151 302 91204 1 152 23104 153 306 93636 1 154 23716 155 310 96100 1 156 24336 157 314 98596 1 158 24964 159 318 101124 1 160 25600 161 322 103684 1 162 26244 163 326 106276 1 164 26896 165 330 108900 1 166 27556 167 334 111556 1 168 28224 169 338 114244 1 170 28900 171 342 116964 1 172 29584 173 346 119716 1 174 30276 175 350 122500 1 176 30976 177 354 125316 1 178 31684 179 358 128164 1 180 32400 181 362 131044 1 182 33124 183 366 133956 1 184 33856 185 370 136900 1 186 34596 187 374 139876 1 188 35344 189 378 142884 1 190 36100 191 382 145924 1 192 36864 193 386 148996 1 194 37636 195 390 152100 1 196 38416 197 394 155236 1 198 39204 199 398 158404 1 200 40000 201 402 161604 1 202 40804 203 406 164836 1 204 41616 205 410 168100 1 206 42436 207 414 171396 1 208 43264 209 418 174724 1 210 44100 211 422 178084 1 212 44944 213 426 181476 1 214 45796 215 430 184900 1 216 46656 217 434 188356 1 218 47524 219 438 191844 1 220 48400 221 442 195364 1 222 49284 223 446 198916 1 224 50176 225 450 202500 1 226 51076 227 454 206116 1 228 51984 229 458 209764 1 230 52900 231 462 213444 1 232 53824 233 466 217156 1 234 54756 235 470 220900 1 236 55696 237 474 224676 1 238 56644 239 478 228484 1 240 57600 241 482 232324 1 242 58564 243 486 236196 1 244 59536 245 490 240100 1 246 60516 247 494 244036 1 248 61504 249 498 248004 1 250 62500 251 502 252004 1 252 63504 253 506 256036 1 254 64516 255 510 260100 1 256 65536 257 514 264196 1 258 66564 259 518 268324 1 260 67600 261 522 272484 1 262 68644 263 526 276676 1 264 69696 265 530 280900 1 266 70756 267 534 285156 1 268 71824 269 538 289444 1 270 72900 271 542 293764 1 272 73984 273 546 298116 1 274 75076 275 550 302500 1 276 76176 277 554 306916 1 278 77284 279 558 311364 1 280 78400 281 562 315844 1 282 79524 283 566 320356 1 284 80656 285 570 324900 1 286 81796 287 574 329476 1 288 82944 289 578 334084 1 290 84100 291 582 338724 1 292 85264 293 586 343396 1 294 86436 295 590 348100 1 296 87616 297 594 352836 1 298 88804 299 598 357604 1 300 90000 301 602 362404 1 302 91204 303 606 367236 1 304 92416 305 610 372100 1 306 93636 307 614 376996 1 308 94864 309 618 381924 1 310 96100 311 622 386884 1 312 97344 313 626 391876 1 314 98596 315 630 396900 1 316 99856 317 634 401956 1 318 101124 319 638 407044 1 320 102400 321 642 412164 1 322 103684 323 646 417316 1 324 104976 325 650 422500 1 326 106276 327 654 427716 1 328 107584 329 658 432964 1 330 108900 331 662 438244 1 332 110224 333 666 443556 1 334 111556 335 670 448900 1 336 112896 337 674 454276 1 338 114244 339 678 459684 1 340 115600 341 682 465124 1 342 116964 343 686 470596 1 344 118336 345 690 476100 1 346 119716 347 694 481636 1 348 121104 349 698 487204 1 350 122500 351 702 492804 1 352 123904 353 706 498436 1 354 125316 355 710 504100 1 356 126736 357 714 509796 1 358 128164 359 718 515524 1 360 129600 361 722 521284 1 362 131044 363 726 527076 1 364 132496 365 730 532900 1 366 133956 367 734 538756 1 368 135424 369 738 544644 1 370 136900 371 742 550564 1 372 138384 373 746 556516 1 374 139876 375 750 562500 1 376 141376 377 754 568516 1 378 142884 379 758 574564 1 380 144400 381 762 580644 1 382 145924 383 766 586756 1 384 147456 385 770 592900 1 386 148996 387 774 599076 1 388 150544 389 778 605284 1 390 152100 391 782 611524 1 392 153664 393 786 617796 1 394 155236 395 790 624100 1 396 156816 397 794 630436 1 398 158404 399 798 636804 1 400 160000 401 802 643204 1 402 161604 403 806 649636 1 404 163216 405 810 656100 1 406 164836 407 814 662596 1 408 166464 409 818 669124 1 410 168100 411 822 675684 1 412 169744 413 826 682276 1 414 171396 415 830 688900 1 416 173056 417 834 695556 1 418 174724 419 838 702244 1 420 176400 421 842 708964 1 422 178084 423 846 715716 1 424 179776 425 850 722500 1 426 181476 427 854 729316 1 428 183184 429 858 736164 1 430 184900 431 862 743044 1 432 186624 433 866 749956 1 434 188356 435 870 756900 1 436 190096 437 874 763876 1 438 191844 439 878 770884 1 440 193600 441 882 777924 1 442 195364 443 886 784996 1 444 197136 445 890 792100 1 446 198916 447 894 799236 1 448 200704 449 898 806404 1 450 202500 451 902 813604 1 452 204304 453 906 820836 1 454 206116 455 910 828100 1 456 207936 457 914 835396 1 458 209764 459 918 842724 1 460 211600 461 922 850084 1 462 213444 463 926 857476 1 464 215296 465 930 864900 1 466 217156 467 934 872356 1 468 219024 469 938 879844 1 470 220900 471 942 887364 1 472 222784 473 946 894916 1 474 224676 475 950 902500 1 476 226576 477 954 910116 1 478 228484 479 958 917764 1 480 230400 481 962 925444 1 482 232324 483 966 933156 1 484 234256 485 970 940900 1 486 236196 487 974 948676 1 488 238144 489 978 956484 1 490 240100 491 982 964324 1 492 242064 493 986 972196 1 494 244036 495 990 980100 1 496 246016 497 994 988036 1 498 248004 499 998 996004 1 500 250000 501 1002 1004004 1 502 252004 503 1006 1012036 1 504 254016 505 1010 1020100 1 506 256036 507 1014 1028196 1 508 258064 509 1018 1036324 1 510 260100 511 1022 1044484 1 512 262144 513 1026 1052676 1 514 264196 515 1030 1060900 1 516 266256 517 1034 1069156 1 518 268324 519 1038 1077444 1 520 270400 521 1042 1085764 1 522 272484 523 1046 1094116 1 524 274576 525 1050 1102500 1 526 276676 527 1054 1110916 1 528 278784 529 1058 1119364 1 530 280900 531 1062 1127844 1 532 283024 533 1066 1136356 1 534 285156 535 1070 1144900 1 536 287296 537 1074 1153476 1 538 289444 539 1078 1162084 1 540 291600 541 1082 1170724 1 542 293764 543 1086 1179396 1 544 295936 545 1090 1188100 1 546 298116 547 1094 1196836 1 548 300304 549 1098 1205604 1 550 302500 551 1102 1214404 1 552 304704 553 1106 1223236 1 554 306916 555 1110 1232100 1 556 309136 557 1114 1240996 1 558 311364 559 1118 1249924 1 560 313600 561 1122 1258884 1 562 315844 563 1126 1267876 1 564 318096 565 1130 1276900 1 566 320356 567 1134 1285956 1 568 322624 569 1138 1295044 1 570 324900 571 1142 1304164 1 572 327184 573 1146 1313316 1 574 329476 575 1150 1322500 1 576 331776 577 1154 1331716 1 578 334084 579 1158 1340964 1 580 336400 581 1162 1350244 1 582 338724 583 1166 1359556 1 584 341056 585 1170 1368900 1 586 343396 587 1174 1378276 1 588 345744 589 1178 1387684 1 590 348100 591 1182 1397124 1 592 350464 593 1186 1406596 1 594 352836 595 1190 1416100 1 596 355216 597 1194 1425636 1 598 357604 599 1198 1435204 1 600 360000 601 1202 1444804 1 602 362404 603 1206 1454436 1 604 364816 605 1210 1464100 1 606 367236 607 1214 1473796 1 608 369664 609 1218 1483524 1 610 372100 611 1222 1493284 1 612 374544 613 1226 1503076 1 614 376996 615 1230 1512900 1 616 379456 617 1234 1522756 1 618 381924 619 1238 1532644 1 620 384400 621 1242 1542564 1 622 386884 623 1246 1552516 1 624 389376 625 1250 1562500 1 626 391876 627 1254 1572516 1 628 394384 629 1258 1582564 1 630 396900 631 1262 1592644 1 632 399424 633 1266 1602756 1 634 401956 635 1270 1612900 1 636 404496 637 1274 1623076 1 638 407044 639 1278 1633284 1 640 409600 641 1282 1643524 1 642 412164 643 1286 1653796 1 644 414736 645 1290 1664100 1 646 417316 647 1294 1674436 1 648 419904 649 1298 1684804 1 650 422500 651 1302 1695204 1 652 425104 653 1306 1705636 1 654 427716 655 1310 1716100 1 656 430336 657 1314 1726596 1 658 432964 659 1318 1737124 1 660 435600 661 1322 1747684 1 662 438244 663 1326 1758276 1 664 440896 665 1330 1768900 1 666 443556 667 1334 1779556 1 668 446224 669 1338 1790244 1 670 448900 671 1342 1800964 1 672 451584 673 1346 1811716 1 674 454276 675 1350 1822500 1 676 456976 677 1354 1833316 1 678 459684 679 1358 1844164 1 680 462400 681 1362 1855044 1 682 465124 683 1366 1865956 1 684 467856 685 1370 1876900 1 686 470596 687 1374 1887876 1 688 473344 689 1378 1898884 1 690 476100 691 1382 1909924 1 692 478864 693 1386 1920996 1 694 481636 695 1390 1932100 1 696 484416 697 1394 1943236 1 698 487204 699 1398 1954404 1 700 490000 701 1402 1965604 1 702 492804 703 1406 1976836 1 704 495616 705 1410 1988100 1 706 498436 707 1414 1999396 1 708 501264 709 1418 2010724 1 710 504100 711 1422 2022084 1 712 506944 713 1426 2033476 1 714 509796 715 1430 2044900 1 716 512656 717 1434 2056356 1 718 515524 719 1438 2067844 1 720 518400 721 1442 2079364 1 722 521284 723 1446 2090916 1 724 524176 725 1450 2102500 1 726 527076 727 1454 2114116 1 728 529984 729 1458 2125764 1 730 532900 731 1462 2137444 1 732 535824 733 1466 2149156 1 734 538756 735 1470 2160900 1 736 541696 737 1474 2172676 1 738 544644 739 1478 2184484 1 740 547600 741 1482 2196324 1 742 550564 743 1486 2208196 1 744 553536 745 1490 2220100 1 746 556516 747 1494 2232036 1 748 559504 749 1498 2244004 1 750 562500 751 1502 2256004 1 752 565504 753 1506 2268036 1 754 568516 755 1510 2280100 1 756 571536 757 1514 2292196 1 758 574564 759 1518 2304324 1 760 577600 761 1522 2316484 1 762 580644 763 1526 2328676 1 764 583696 765 1530 2340900 1 766 586756 767 1534 2353156 1 768 589824 769 1538 2365444 1 770 592900 771 1542 2377764 1 772 595984 773 1546 2390116 1 774 599076 775 1550 2402500 1 776 602176 777 1554 2414916 1 778 605284 779 1558 2427364 1 780 608400 781 1562 2439844 1 782 611524 783 1566 2452356 1 784 614656 785 1570 2464900 1 786 617796 787 1574 2477476 1 788 620944 789 1578 2490084 1 790 624100 791 1582 2502724 1 792 627264 793 1586 2515396 1 794 630436 795 1590 2528100 1 796 633616 797 1594 2540836 1 798 636804 799 1598 2553604 1 800 640000 801 1602 2566404 1 802 643204 803 1606 2579236 1 804 646416 805 1610 2592100 1 806 649636 807 1614 2604996 1 808 652864 809 1618 2617924 1 810 656100 811 1622 2630884 1 812 659344 813 1626 2643876 1 814 662596 815 1630 2656900 1 816 665856 817 1634 2669956 1 818 669124 819 1638 2683044 1 820 672400 821 1642 2696164 1 822 675684 823 1646 2709316 1 824 678976 825 1650 2722500 1 826 682276 827 1654 2735716 1 828 685584 829 1658 2748964 1 830 688900 831 1662 2762244 1 832 692224 833 1666 2775556 1 834 695556 835 1670 2788900 1 836 698896 837 1674 2802276 1 838 702244 839 1678 2815684 1 840 705600 841 1682 2829124 1 842 708964 843 1686 2842596 1 844 712336 845 1690 2856100 1 846 715716 847 1694 2869636 1 848 719104 849 1698 2883204 1 850 722500 851 1702 2896804 1 852 725904 853 1706 2910436 1 854 729316 855 1710 2924100 1 856 732736 857 1714 2937796 1 858 736164 859 1718 2951524 1 860 739600 861 1722 2965284 1 862 743044 863 1726 2979076 1 864 746496 865 1730 2992900 1 866 749956 867 1734 3006756 1 868 753424 869 1738 3020644 1 870 756900 871 1742 3034564 1 872 760384 873 1746 3048516 1 874 763876 875 1750 3062500 1 876 767376 877 1754 3076516 1 878 770884 879 1758 3090564 1 880 774400 881 1762 3104644 1 882 777924 883 1766 3118756 1 884 781456 885 1770 3132900 1 886 784996 887 1774 3147076 1 888 788544 889 1778 3161284 1 890 792100 891 1782 3175524 1 892 795664 893 1786 3189796 1 894 799236 895 1790 3204100 1 896 802816 897 1794 3218436 1 898 806404 899 1798 3232804 1 900 810000 901 1802 3247204 1 902 813604 903 1806 3261636 1 904 817216 905 1810 3276100 1 906 820836 907 1814 3290596 1 908 824464 909 1818 3305124 1 910 828100 911 1822 3319684 1 912 831744 913 1826 3334276 1 914 835396 915 1830 3348900 1 916 839056 917 1834 3363556 1 918 842724 919 1838 3378244 1 920 846400 921 1842 3392964 1 922 850084 923 1846 3407716 1 924 853776 925 1850 3422500 1 926 857476 927 1854 3437316 1 928 861184 929 1858 3452164 1 930 864900 931 1862 3467044 1 932 868624 933 1866 3481956 1 934 872356 935 1870 3496900 1 936 876096 937 1874 3511876 1 938 879844 939 1878 3526884 1 940 883600 941 1882 3541924 1 942 887364 943 1886 3556996 1 944 891136 945 1890 3572100 1 946 894916 947 1894 3587236 1 948 898704 949 1898 3602404 1 950 902500 951 1902 3617604 1 952 906304 953 1906 3632836 1 954 910116 955 1910 3648100 1 956 913936 957 1914 3663396 1 958 917764 959 1918 3678724 1 960 921600 961 1922 3694084 1 962 925444 963 1926 3709476 1 964 929296 965 1930 3724900 1 966 933156 967 1934 3740356 1 968 937024 969 1938 3755844 1 970 940900 971 1942 3771364 1 972 944784 973 1946 3786916 1 974 948676 975 1950 3802500 1 976 952576 977 1954 3818116 1 978 956484 979 1958 3833764 1 980 960400 981 1962 3849444 1 982 964324 983 1966 3865156 1 984 968256 985 1970 3880900 1 986 972196 987 1974 3896676 1 988 976144 989 1978 3912484 1 990 980100 991 1982 3928324 1 992 984064 993 1986 3944196 1 994 988036 995 1990 3960100 1 996 992016 997 1994 3976036 1 998 996004 999 1998 3992004 1 1000 1000000 1001 2002 4008004 1 1002 1004004 1003 2006 4024036 1 1004 1008016 1005 2010 4040100 1 1006 1012036 1007 2014 4056196 1 1008 1016064 1009 2018 4072324 1 1010 1020100 1011 2022 4088484 1 1012 1024144 1013 2026 4104676 1 1014 1028196 1015 2030 4120900 1 1016 1032256 1017 2034 4137156 1 1018 1036324 1019 2038 4153444 1 1020 1040400 1021 2042 4169764 1 1022 1044484 1023 2046 4186116 1 1024 1048576 1025 2050 4202500 1 1026 1052676 1027 2054 4218916 1 1028 1056784 1029 2058 4235364 1 1030 1060900 1031 2062 4251844 1 1032 1065024 1033 2066 4268356 1 1034 1069156 1035 2070 4284900 1 1036 1073296 1037 2074 4301476 1 1038 1077444 1039 2078 4318084 1 1040 1081600 1041 2082 4334724 1 1042 1085764 1043 2086 4351396 1 1044 1089936 1045 2090 4368100 1 1046 1094116 1047 2094 4384836 1 1048 1098304 1049 2098 4401604 1 1050 1102500 1051 2102 4418404 1 1052 1106704 1053 2106 4435236 1 1054 1110916 1055 2110 4452100 1 1056 1115136 1057 2114 4468996 1 1058 1119364 1059 2118 4485924 1 1060 1123600 1061 2122 4502884 1 1062 1127844 1063 2126 4519876 1 1064 1132096 1065 2130 4536900 1 1066 1136356 1067 2134 4553956 1 1068 1140624 1069 2138 4571044 1 1070 1144900 1071 2142 4588164 1 1072 1149184 1073 2146 4605316 1 1074 1153476 1075 2150 4622500 1 1076 1157776 1077 2154 4639716 1 1078 1162084 1079 2158 4656964 1 1080 1166400 1081 2162 4674244 1 1082 1170724 1083 2166 4691556 1 1084 1175056 1085 2170 4708900 1 1086 1179396 1087 2174 4726276 1 1088 1183744 1089 2178 4743684 1 1090 1188100 1091 2182 4761124 1 1092 1192464 1093 2186 4778596 1 1094 1196836 1095 2190 4796100 1 1096 1201216 1097 2194 4813636 1 1098 1205604 1099 2198 4831204 1 1100 1210000 1101 2202 4848804 1 1102 1214404 1103 2206 4866436 1 1104 1218816 1105 2210 4884100 1 1106 1223236 1107 2214 4901796 1 1108 1227664 1109 2218 4919524 1 1110 1232100 1111 2222 4937284 1 1112 1236544 1113 2226 4955076 1 1114 1240996 1115 2230 4972900 1 1116 1245456 1117 2234 4990756 1 1118 1249924 1119 2238 5008644 1 1120 1254400 1121 2242 5026564 1 1122 1258884 1123 2246 5044516 1 1124 1263376 1125 2250 5062500 1 1126 1267876 1127 2254 5080516 1 1128 1272384 1129 2258 5098564 1 1130 1276900 1131 2262 5116644 1 1132 1281424 1133 2266 5134756 1 1134 1285956 1135 2270 5152900 1 1136 1290496 1137 2274 5171076 1 1138 1295044 1139 2278 5189284 1 1140 1299600 1141 2282 5207524 1 1142 1304164 1143 2286 5225796 1 1144 1308736 1145 2290 5244100 1 1146 1313316 1147 2294 5262436 1 1148 1317904 1149 2298 5280804 1 1150 1322500 1151 2302 5299204 1 1152 1327104 1153 2306 5317636 1 1154 1331716 1155 2310 5336100 1 1156 1336336 1157 2314 5354596 1 1158 1340964 1159 2318 5373124 1 1160 1345600 1161 2322 5391684 1 1162 1350244 1163 2326 5410276 1 1164 1354896 1165 2330 5428900 1 1166 1359556 1167 2334 5447556 1 1168 1364224 1169 2338 5466244 1 1170 1368900 1171 2342 5484964 1 1172 1373584 1173 2346 5503716 1 1174 1378276 1175 2350 5522500 1 1176 1382976 1177 2354 5541316 1 1178 1387684 1179 2358 5560164 1 1180 1392400 1181 2362 5579044 1 1182 1397124 1183 2366 5597956 1 1184 1401856 1185 2370 5616900 1 1186 1406596 1187 2374 5635876 1 1188 1411344 1189 2378 5654884 1 1190 1416100 1191 2382 5673924 1 1192 1420864 1193 2386 5692996 1 1194 1425636 1195 2390 5712100 1 1196 1430416 1197 2394 5731236 1 1198 1435204 1199 2398 5750404 1 1200 1440000 1201 2402 5769604 1 1202 1444804 1203 2406 5788836 1 1204 1449616 1205 2410 5808100 1 1206 1454436 1207 2414 5827396 1 1208 1459264 1209 2418 5846724 1 1210 1464100 1211 2422 5866084 1 1212 1468944 1213 2426 5885476 1 1214 1473796 1215 2430 5904900 1 1216 1478656 1217 2434 5924356 1 1218 1483524 1219 2438 5943844 1 1220 1488400 1221 2442 5963364 1 1222 1493284 1223 2446 5982916 1 1224 1498176 1225 2450 6002500 1 1226 1503076 1227 2454 6022116 1 1228 1507984 1229 2458 6041764 1 1230 1512900 1231 2462 6061444 1 1232 1517824 1233 2466 6081156 1 1234 1522756 1235 2470 6100900 1 1236 1527696 1237 2474 6120676 1 1238 1532644 1239 2478 6140484 1 1240 1537600 1241 2482 6160324 1 1242 1542564 1243 2486 6180196 1 1244 1547536 1245 2490 6200100 1 1246 1552516 1247 2494 6220036 1 1248 1557504 1249 2498 6240004 1 1250 1562500 1251 2502 6260004 1 1252 1567504 1253 2506 6280036 1 1254 1572516 1255 2510 6300100 1 1256 1577536 1257 2514 6320196 1 1258 1582564 1259 2518 6340324 1 1260 1587600 1261 2522 6360484 1 1262 1592644 1263 2526 6380676 1 1264 1597696 1265 2530 6400900 1 1266 1602756 1267 2534 6421156 1 1268 1607824 1269 2538 6441444 1 1270 1612900 1271 2542 6461764 1 1272 1617984 1273 2546 6482116 1 1274 1623076 1275 2550 6502500 1 1276 1628176 1277 2554 6522916 1 1278 1633284 1279 2558 6543364 1 1280 1638400 1281 2562 6563844 1 1282 1643524 1283 2566 6584356 1 1284 1648656 1285 2570 6604900 1 1286 1653796 1287 2574 6625476 1 1288 1658944 1289 2578 6646084 1 1290 1664100 1291 2582 6666724 1 1292 1669264 1293 2586 6687396 1 1294 1674436 1295 2590 6708100 1 1296 1679616 1297 2594 6728836 1 1298 1684804 1299 2598 6749604 1 1300 1690000 1301 2602 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3244 10523536 3245 6490 42120100 1 3246 10536516 3247 6494 42172036 1 3248 10549504 3249 6498 42224004 1 3250 10562500 3251 6502 42276004 1 3252 10575504 3253 6506 42328036 1 3254 10588516 3255 6510 42380100 1 3256 10601536 3257 6514 42432196 1 3258 10614564 3259 6518 42484324 1 3260 10627600 3261 6522 42536484 1 3262 10640644 3263 6526 42588676 1 3264 10653696 3265 6530 42640900 1 3266 10666756 3267 6534 42693156 1 3268 10679824 3269 6538 42745444 1 3270 10692900 3271 6542 42797764 1 3272 10705984 3273 6546 42850116 1 3274 10719076 3275 6550 42902500 1 3276 10732176 3277 6554 42954916 1 3278 10745284 3279 6558 43007364 1 3280 10758400 3281 6562 43059844 1 3282 10771524 3283 6566 43112356 1 3284 10784656 3285 6570 43164900 1 3286 10797796 3287 6574 43217476 1 3288 10810944 3289 6578 43270084 1 3290 10824100 3291 6582 43322724 1 3292 10837264 3293 6586 43375396 1 3294 10850436 3295 6590 43428100 1 3296 10863616 3297 6594 43480836 1 3298 10876804 3299 6598 43533604 1 3300 10890000 3301 6602 43586404 1 3302 10903204 3303 6606 43639236 1 3304 10916416 3305 6610 43692100 1 3306 10929636 3307 6614 43744996 1 3308 10942864 3309 6618 43797924 1 3310 10956100 3311 6622 43850884 1 3312 10969344 3313 6626 43903876 1 3314 10982596 3315 6630 43956900 1 3316 10995856 3317 6634 44009956 1 3318 11009124 3319 6638 44063044 1 3320 11022400 3321 6642 44116164 1 3322 11035684 3323 6646 44169316 1 3324 11048976 3325 6650 44222500 1 3326 11062276 3327 6654 44275716 1 3328 11075584 3329 6658 44328964 1 3330 11088900 3331 6662 44382244 1 3332 11102224 3333 6666 44435556 1 3334 11115556 

[Nineshadow]

That 1 before the 4 screws up everything D:

[FakezZ]

These are the only numbers you need to remember: 4, 8, 15, 16, 23, 42.

If you haven't watched Lost, then you can ignore my post. And also, that is a damn hard sequence right there...

[GrimNeo]

1 , 1 , 2 , 4 , 3 , 6 , 36 , 1 , 4 , 16 , 5 , 10 , 100 ...

 

I still can't figure it out.

Here's what I thought so far :

We have the first 1.

Then we have 1 squared (still 1) which is probably used like this:

1 * 2 = 2

2 ^ 2 = 4

Then we have 3.

3

3*2=6

6^2 = 36

Then everything gets screwed and  we have 1????

1

????=4

4^2 = 16

Then it goes back to normal.

5

5 * 2 = 10

10 ^ 2 = 100

 

So...I'm sure that x_3k+1=x_3k^2 .That's definitely something. But the rest...

 

This is for programming btw, not maths.

Where did you get that equation?

[Nineshadow]

Where did you get that equation?

I noticed it.

x3 = 2

x4 = 4 = x3^2

 

x6 = 6

x7 = 36 = x6 ^2

 

x12 = 10

x13 = 100 = x12^2

[Toxic Tom]

Well every 3rd number is a square, along with some of the other numbers as well.

[Nineshadow]

These are the only numbers you need to remember: 4, 8, 15, 16, 23, 42.

If you haven't watched Lost, then you can ignore my post. And also, that is a damn hard sequence right there...

Well...it's an annoying one. I can't really apply what we did at Maths with this one.

 

Oh...what we do at Maths is really weird. This is just a problem of thinking mostly.

[Nineshadow]

Anyone have any idea what this 1 is doing here?

3 , 6 , 36 , 1 , 4 , 16

[TideRower]

if x is even you write: 1, x, x²

if not : x, 2x, (2x)²

you write down 1 and then start counting with 2

[Nineshadow]

if x is even you write: 1, x, x²

if not : x, 2x, (2x)²

you write down 1 and then start counting with 2

Now time to make a formula.