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A176770
Smallest power of 11 whose decimal expansion contains n.
1
161051, 1, 121, 1331, 14641, 161051, 14641, 1771561, 19487171, 19487171, 161051, 11, 121, 1331, 14641, 1771561, 161051, 1771561, 9849732675807611094711841, 19487171, 672749994932560009201, 121, 34522712143931, 2357947691, 25937424601
OFFSET
0,1
COMMENTS
This is to 11 as A176763 is to 3 and as A030001 is to 2.
FORMULA
a(n) = MIN{A001020(i) such that n in decimal representation is a substring of A001020(i)}.
EXAMPLE
a(1) = 1 because 11^0 = 1 has "1" as a substring (not a proper substring, though).
a(2) = 121 because 11^2 = 121 has "2" as a substring.
a(3) = 1331 because 11^3 = 1331 has "3" as a substring.
MATHEMATICA
A176770[n_] := Block[{k = -1}, While[StringFreeQ[IntegerString[11^++k], IntegerString[n]]]; 11^k]; Array[A176770, 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