A176770 - OEIS

%I #9 Apr 04 2024 04:01:09

%S 161051,1,121,1331,14641,161051,14641,1771561,19487171,19487171,

%T 161051,11,121,1331,14641,1771561,161051,1771561,

%U 9849732675807611094711841,19487171,672749994932560009201,121,34522712143931,2357947691,25937424601

%N Smallest power of 11 whose decimal expansion contains n.

%C This is to 11 as A176763 is to 3 and as A030001 is to 2.

%H Paolo Xausa, <a href="/A176770/b176770.txt">Table of n, a(n) for n = 0..10000</a>

%F a(n) = MIN{A001020(i) such that n in decimal representation is a substring of A001020(i)}.

%e a(1) = 1 because 11^0 = 1 has "1" as a substring (not a proper substring, though).

%e a(2) = 121 because 11^2 = 121 has "2" as a substring.

%e a(3) = 1331 because 11^3 = 1331 has "3" as a substring.

%t A176770[n_] := Block[{k = -1}, While[StringFreeQ[IntegerString[11^++k], IntegerString[n]]]; 11^k]; Array[A176770, 50, 0] (* _Paolo Xausa_, Apr 04 2024 *)

%Y Cf. A001018, A030001, A176763, A176764-A176773.

%K base,easy,nonn

%O 0,1

%A _Jonathan Vos Post_, Apr 25 2010

%E More terms from _Sean A. Irvine_ and _Jon E. Schoenfield_, May 05 2010

%E a(0) prepended by _Paolo Xausa_, Apr 04 2024