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

Author

Jonathan Vos Post, Apr 25 2010

Keywords

• base
• easy
• nonn

Comments

This is to 14 as A176763 is to 3 and as A030001 is to 2.

Examples

			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.
		

Links

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

Crossrefs

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

Programs

Mathematica

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

Formula

a(n) = MIN{A001023(i) such that n in decimal representation is a substring of A001023(i)}.

Extensions

More terms from Sean A. Irvine and Jon E. Schoenfield, May 05 2010

a(0) prepended by Paolo Xausa, Apr 03 2024