A176773 Smallest power of 14 whose decimal expansion contains n.

105413504, 1, 2744, 38416, 14, 537824, 196, 2744, 38416, 196, 105413504, 11112006825558016, 56693912375296, 105413504, 14, 155568095557812224, 38416, 2177953337809371136, 5976303958948914397184, 196, 20661046784, 2177953337809371136

Offset

0,1

Comments

This is to 14 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{A001023(i) such that n in decimal representation is a substring of A001023(i)}.

Example

a(1) = 1 because 14^0 = 1 has "1" as a substring (not a proper substring, though).
a(2) = 2744 because 14^3 = 2744 has "2" as a substring.
a(3) = 38416 because 14^4 = 38416 has "3" as a substring.

Mathematica

A176773[n_] := Block[{k = -1}, While[StringFreeQ[IntegerString[14^++k], IntegerString[n]]]; 14^k]; Array[A176773, 50, 0] (* Paolo Xausa, Apr 03 2024 *)

Crossrefs

Cf. A001023, A030001, A176763, A176764-A176773.

Sequence in context: A114679 A157859 A157863 * A035498 A018897 A124149

Adjacent sequences: A176770 A176771 A176772 * A176774 A176775 A176776

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 03 2024

Status

approved