A176766 Smallest power of 6 whose decimal expansion contains n.

10077696, 1, 216, 36, 46656, 46656, 6, 7776, 2176782336, 1296, 10077696, 2821109907456, 1296, 13060694016, 6140942214464815497216, 101559956668416, 216, 60466176, 470184984576, 21936950640377856, 170581728179578208256, 216

Offset

0,1

Comments

This is to 6 as A176763 is to 3 and as A030001 is to 2.

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

Formula

a(n) = MIN{A000400(i) such that n in decimal representation is a substring of A000400(i)}.

a(n) = 6^A062523(n). - Michel Marcus, Sep 30 2014

Example

a(1) = 1 because 6^0 = 1 has "1" as a substring (not a proper substring, though).
a(2) = 216 because 6^3 = 216 has "2" as a substring.
a(3) = 36 because 6^2 = 36 has "3" as a substring.

Mathematica

A176766[n_] := Block[{k = -1}, While[StringFreeQ[IntegerString[6^++k], IntegerString[n]]]; 6^k]; Array[A176766, 50, 0] (* Paolo Xausa, Apr 03 2024 *)

Crossrefs

Cf. A000400, A030001, A176763, A176764-A176773.

Sequence in context: A048938 A258443 A183670 * A186569 A186570 A250597

Adjacent sequences: A176763 A176764 A176765 * A176767 A176768 A176769

Keyword

base,easy,nonn

Author

Jonathan Vos Post, Apr 25 2010

Extensions

Corrected and extended by Sean A. Irvine and Jon E. Schoenfield, May 05 2010

a(0) prepended by Paolo Xausa, Apr 03 2024

Status

approved