

A176771


Smallest power of 12 whose decimal expansion contains n.


1



20736, 1, 12, 20736, 144, 2985984, 20736, 1728, 1728, 2985984, 8916100448256, 2218611106740436992, 12, 79496847203390844133441536, 144, 5159780352, 429981696, 1728, 35831808, 61917364224, 20736, 15407021574586368
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OFFSET

0,1


COMMENTS



LINKS



FORMULA

a(n) = MIN{A001021(i) such that n in decimal representation is a substring of A001021(i)}.


EXAMPLE

a(1) = 1 because 12^0 = 1 has "1" as a substring (not a proper substring, though).
a(2) = 12 because 12^1 = 12 has "2" as a substring.
a(3) = 20736 because 12^4 = 20736 has "3" as a substring.


MATHEMATICA

A176771[n_] := Block[{k = 1}, While[StringFreeQ[IntegerString[12^++k], IntegerString[n]]]; 12^k]; Array[A176771, 50, 0] (* Paolo Xausa, Apr 04 2024 *)


CROSSREFS



KEYWORD

base,easy,nonn


AUTHOR



EXTENSIONS



STATUS

approved



