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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
OFFSET
0,1
COMMENTS
This is to 12 as A176763 is to 3 and as A030001 is to 2.
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
Jonathan Vos Post, Apr 25 2010
EXTENSIONS
More terms from Sean A. Irvine and Jon E. Schoenfield, May 05 2010
a(0) prepended by Paolo Xausa, Apr 04 2024
STATUS
approved