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 1-4 of 4 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

A076071 a(n) = A076070(n)/n.

Original entry on oeis.org

1, 16, 152, 4477, 222222469, 16851871133, 3174603192241, 127791666666937, 11370371604938421, 1234444455555556789, 93041423324151516079, 8528805556481481481499, 770180436760683760692223, 71428572222223023889697857142857
Offset: 1

Views

Author

Amarnath Murthy, Oct 05 2002

Keywords

Crossrefs

Extensions

More terms from David Wasserman, Mar 21 2005
a(8) corrected and a(14) from Sean A. Irvine, Mar 18 2025

A193380 A192392(n)/n = largest m such that m*n is a concatenation of the numbers n(n-1)/2+1,...,n(n+1)/2.

Original entry on oeis.org

1, 16, 218, 24277, 282624223, 35336530286, 4038946460332, 454417916411629, 50493713793377093, 5554535251494847465, 605967851146914507796, 65648063122810597558064, 7069922221437372952524460, 714212835424956578936007364364293
Offset: 1

Views

Author

M. F. Hasler, Jul 24 2011

Keywords

Crossrefs

Programs

  • PARI
    a(n) = A192392(n)/n  /* see there */

Formula

a(n) = A192392(n)/n.
Showing 1-4 of 4 results.