A176770 Smallest power of 11 whose decimal expansion contains n.

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.

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

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

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

Sequence in context: A270973 A287297 A296117 * A038681 A339676 A017285

Adjacent sequences: A176767 A176768 A176769 * A176771 A176772 A176773

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