cp's OEIS Frontend

A176771 Smallest power of 12 whose decimal expansion contains n.

%I A176771 #9 Apr 04 2024 07:52:34
%S A176771 20736,1,12,20736,144,2985984,20736,1728,1728,2985984,8916100448256,
%T A176771 2218611106740436992,12,79496847203390844133441536,144,5159780352,
%U A176771 429981696,1728,35831808,61917364224,20736,15407021574586368
%N A176771 Smallest power of 12 whose decimal expansion contains n.
%C A176771 This is to 12 as A176763 is to 3 and as A030001 is to 2.
%H A176771 Paolo Xausa, <a href="/A176771/b176771.txt">Table of n, a(n) for n = 0..10000</a>
%F A176771 a(n) = MIN{A001021(i) such that n in decimal representation is a substring of A001021(i)}.
%e A176771 a(1) = 1 because 12^0 = 1 has "1" as a substring (not a proper substring, though).
%e A176771 a(2) = 12 because 12^1 = 12 has "2" as a substring.
%e A176771 a(3) = 20736 because 12^4 = 20736 has "3" as a substring.
%t A176771 A176771[n_] := Block[{k = -1}, While[StringFreeQ[IntegerString[12^++k], IntegerString[n]]]; 12^k]; Array[A176771, 50, 0] (* _Paolo Xausa_, Apr 04 2024 *)
%Y A176771 Cf. A001018, A030001, A176763, A176764-A176773.
%K A176771 base,easy,nonn
%O A176771 0,1
%A A176771 _Jonathan Vos Post_, Apr 25 2010
%E A176771 More terms from _Sean A. Irvine_ and _Jon E. Schoenfield_, May 05 2010
%E A176771 a(0) prepended by _Paolo Xausa_, Apr 04 2024