Early Bird numbers

[Maximilian Hasler]

This is another example of how computers can denature things.
"Early birds" seem interesting when you do it by hand, for n<199, say
; but from then on it would be more interesting to study the
complementary sequence ("late birds" ? which appear not before their
"regular" place) - e.g. among 500..999 only about 50 terms are not
present.
At a first glance, I'd almost be tempted to conjecture that from a
certain rank on, the only late birds are of the form  d*10^k with d in
{1,...,9 }, and all other numbers are early birds...
M.H.

On 7/23/07, Joshua Zucker <joshua.zucker at gmail.com> wrote:
> I wrote my own program and let it run to make all the terms up to
> 1000.  Up to 394 they match the terms Warut's program produced.
>
> --Joshua Zucker
>
> 12 21 23 31 32 34 41 42 43 45 51 52 53 54 56 61 62 63 64 65 67 71 72
> 73 74 75 76 78 81 82 83 84 85 86 87 89 91 92 93 94 95 96 97 98 99 101
> 110 111 112 121 122 123 131 132 141 142 151 152 161 162 171 172 181
> 182 191 192 201 202 210 211 212 213 214 215 216 217 218 219 220 221
> 222 223 231 232 233 234 241 242 243 251 252 253 261 262 263 271 272
> 273 281 282 283 291 292 293 301 302 303 310 311 312 313 314 315 316
> 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333
> 334 341 342 343 344 345 351 352 353 354 361 362 363 364 371 372 373
> 374 381 382 383 384 391 392 393 394 401 402 403 404 410 411 412 413
> 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430
> 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 451 452
> 453 454 455 456 461 462 463 464 465 471 472 473 474 475 481 482 483
> 484 485 491 492 493 494 495 501 502 503 504 505 510 511 512 513 514
> 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531
> 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548
> 549 550 551 552 553 554 555 556 561 562 563 564 565 566 567 571 572
> 573 574 575 576 581 582 583 584 585 586 591 592 593 594 595 596 601
> 602 603 604 605 606 610 611 612 613 614 615 616 617 618 619 620 621
> 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638
> 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655
> 656 657 658 659 660 661 662 663 664 665 666 667 671 672 673 674 675
> 676 677 678 681 682 683 684 685 686 687 691 692 693 694 695 696 697
> 701 702 703 704 705 706 707 710 711 712 713 714 715 716 717 718 719
> 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736
> 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753
> 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770
> 771 772 773 774 775 776 777 778 781 782 783 784 785 786 787 788 789
> 791 792 793 794 795 796 797 798 801 802 803 804 805 806 807 808 810
> 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827
> 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844
> 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861
> 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878
> 879 880 881 882 883 884 885 886 887 888 889 891 892 893 894 895 896
> 897 898 899 901 902 903 904 905 906 907 908 909 910 911 912 913 914
> 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931
> 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948
> 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965
> 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982
> 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999
>
> On 7/23/07, Warut Roonguthai <warut822 at gmail.com> wrote:
> > FYI, here's my Ubasic program for generating the early bird sequence:
> >
> > 10   X=""
> > 20   for N=1 to 396
> > 30   A=cutspc(str(N))
> > 40   if instr(X,A)>0 then print N;
> > 50   X+=A
> > 60   next N
> >
> > Warut
> >
>