A307256 Numbers k such that k is the substring identical to the most significant digits of its base-5 representation.

0, 1, 2, 3, 4, 124343, 124401, 132114, 10032011, 20122404, 30213311, 40304213, 1333204002110, 1411043040042, 101232041210022, 203110224214344, 210011311131122, 304342321033141, 311243402442011, 311300321024140, 413122042420324, 420023124324311, 14233443213321013401

Offset

1,3

Comments

Numbers k whose base-5 representation begins with the same digits as k itself.

Links

Scott R. Shannon, Table of n, a(n) for n = 1..500

Example

132114_10 = 13211424_5, which also begins with '132114'.

Mathematica

With[{b = 5}, Select[Array[{FromDigits@ #, #} &@ IntegerDigits[#, b] &, b^10, 0], Take[IntegerDigits[First@ #, b], Length@ Last@ #] == Last[#] &][[All, 1]]] (* Michael De Vlieger, Apr 01 2019 *)

Crossrefs

This is a subsequence of A038105.

Sequence in context: A143716 A228311 A258107 * A107656 A330930 A377273

Adjacent sequences: A307253 A307254 A307255 * A307257 A307258 A307259

Keyword

nonn,base

Author

Scott R. Shannon, Apr 01 2019

Status

approved