A030704 Numbers k such that the decimal expansion of 8^k contains no zeros (probably finite).

0, 1, 2, 3, 5, 6, 8, 9, 11, 12, 13, 17, 24, 27

Offset: 1

Author

Eric W. Weisstein

Keywords

• nonn
• base

Comments

Integers in A007377 / 3. - M. F. Hasler, Mar 07 2014

Links

• Eric Weisstein's World of Mathematics, Zero

Crossrefs

Cf. A007377 (analog for 2^n), A030700 (for 3^n), A030701 (for 4^n), A008839 (for 5^n), A030702 (for 6^n), A030703 and A195908 (for 7^n), A030705 (for 9^n), A030706 and A195946 (for 11^n), A195944 and A195945 (for 13^n).

Cf. A195942, A195943.

This is row 0 of A305928.

Programs

Magma

[n: n in [0..500] | not 0 in Intseq(8^n)]; // Vincenzo Librandi, Mar 08 2014

Mathematica

Select[Range[0,30],DigitCount[8^#,10,0]==0&] (* Harvey P. Dale, Jul 13 2016 *)

PARI

select( is(n)=vecmin(digits(8^n)), [0..30]) \\ M. F. Hasler, Mar 07 2014

Extensions

Several edits (offset 1, initial 0, title rephrased) by M. F. Hasler, Mar 07 2014