A195944 Numbers k such that 13^k has no zero in its decimal expansion.

0, 1, 2, 3, 4, 5, 7, 10, 14

Offset

1,3

Comments

Probably finite. Is 14 the largest term?

Links

Table of n, a(n) for n=1..9.

Carlos Rivera, Puzzle 607. A zeroless Prime power

Formula

Equals { n | A001022(n) is in A052382 }.

Mathematica

Select[Range[0, 20], DigitCount[13^#, 10, 0]==0&] (* Harvey P. Dale, May 24 2023 *)

Prog

(PARI) for( n=0, 9999, is_A052382(13^n) && print1(n", "))
(Magma) [n: n in [0..1000] | not 0 in Intseq(13^n) ]; // Vincenzo Librandi, May 06 2015

Crossrefs

Cf. A195942, A195943, A195945, A195946, A195908, A195948, A052382, A007377, A008839, A030700, A030701, A030702, A030704, A030705, A030706.

Sequence in context: A018127 A017835 A007601 * A087830 A039857 A255216

Adjacent sequences: A195941 A195942 A195943 * A195945 A195946 A195947

Keyword

nonn,base

Author

M. F. Hasler, Sep 25 2011

Extensions

Keyword:fini removed by Jianing Song, Jan 28 2023 as finiteness is only conjectured.

Status

approved