cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-3 of 3 results.

A076072 Largest multiple of n that can be formed by using the digits of the next n numbers, or 0 if no such number exists.

Original entry on oeis.org

1, 32, 654, 97180, 4321111115, 987622111110, 87654322222222, 9654333333332120, 987544444443333210, 98765555555444443210, 9876666666665555524130, 988777777777776666543120, 99998888888888877654321100
Offset: 1

Views

Author

Amarnath Murthy, Oct 05 2002

Keywords

Comments

Conjecture: No entry is zero. (At least one multiple of n can be formed by using the digits of the next n numbers.)
"Next n numbers" means {1+n(n-1)/2,...,n(n+1)/2}. - M. F. Hasler, Jul 22 2011

Crossrefs

Programs

  • PARI
    precperm(p)={ my(t); forstep(i=#p-1,1,-1, p[i]>p[i+1] && for( j=1, #t=vecsort(vecextract(p,2^#p-2^(i-1)),,4), t[j]A076072(n)={ my(d=vecsort(Vec(concat(vector(n,i,Str(i+n*(n-1)/2)))),,4)); for( i=1, (#d)!, eval(concat(d))%n || break; d=precperm(d)); eval(concat(d))}  \\ M. F. Hasler, Jul 24 2011

Extensions

More terms from David Wasserman, Mar 23 2005

A076070 Smallest multiple of n that can be formed by using the digits of the next n numbers, or 0 if no such number exists.

Original entry on oeis.org

1, 32, 456, 17908, 1111112345, 101111226798, 22222222345687, 1022333333335496, 102333344444445789, 12344444555555567890, 1023455656565666676869, 102345666677777777777988, 10012345677888888888998899, 1000000011111122334455769999999998
Offset: 1

Views

Author

Amarnath Murthy, Oct 05 2002

Keywords

Comments

Conjecture: No entry is zero. (At least one multiple of n can be formed by using the digits of the next n numbers).

Crossrefs

Extensions

More terms from David Wasserman, Mar 21 2005
a(8) corrected and a(14) from Sean A. Irvine, Mar 17 2025

A076073 a(n) = A076072(n)/n.

Original entry on oeis.org

1, 16, 218, 24295, 864222223, 164603685185, 12522046031746, 1206791666666515, 109727160493703690, 9876555555544444321, 897878787878686865830, 82398148148148055545260, 7692222222222221358024700
Offset: 1

Views

Author

Amarnath Murthy, Oct 05 2002

Keywords

Crossrefs

Extensions

More terms from David Wasserman, Mar 23 2005
Showing 1-3 of 3 results.