

A176766


Smallest power of 6 whose decimal expansion contains n.


0



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

1,2


COMMENTS

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


LINKS

Table of n, a(n) for n=1..21.


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.


CROSSREFS

Cf. A000400, A030001, A176763, A176764A176773.
Sequence in context: A322929 A013546 A192073 * A018863 A003998 A335544
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


STATUS

approved



