A030701 Decimal expansion of 4^n contains no zeros (probably finite).

0, 1, 2, 3, 4, 7, 8, 9, 12, 14, 16, 17, 18, 36, 38, 43

Offset

1,3

Comments

Integers in A007377 / 2. Conjectured to be finite, and probably complete. - M. F. Hasler, Mar 08 2014

Links

Table of n, a(n) for n=1..16.

M. F. Hasler, Zeroless powers, OEIS Wiki, Mar 07 2014.

Eric Weisstein's World of Mathematics, Zero.

Mathematica

Select[Range[0, 50], DigitCount[4^#, 10, 0]==0&] (* Paolo Xausa, Oct 07 2023 *)

Prog

(PARI) for(n=0, 99, vecmin(digits(4^n))&& print1(n", ")) \\ M. F. Hasler, Mar 07 2014
(Magma) [n: n in [0..500] | not 0 in Intseq(4^n)]; // Vincenzo Librandi, Mar 08 2014

Crossrefs

For the zeroless numbers (powers x^n), see A238938, A238939, A238940, A195948, A238936, A195908, A195946, A195945, A195942, A195943, A103662.

For the corresponding exponents, see A007377, A008839, A030700, A030701, A008839, A030702, A030703, A030704, A030705, A030706, A195944.

For other related sequences, see A052382, A027870, A102483, A103663.

Sequence in context: A047202 A064953 A097503 * A305924 A328134 A218785

Adjacent sequences: A030698 A030699 A030700 * A030702 A030703 A030704

Keyword

nonn,base

Author

Eric W. Weisstein

Extensions

Offset corrected and initial 0 added by M. F. Hasler, Mar 07 2014

Status

approved