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

Author

Eric W. Weisstein

Keywords

• nonn
• base

Comments

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

Links

• M. F. Hasler, Zeroless powers, OEIS Wiki, Mar 07 2014.
• Eric Weisstein's World of Mathematics, Zero.

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.

Programs

Magma

[n: n in [0..500] | not 0 in Intseq(4^n)]; // Vincenzo Librandi, Mar 08 2014

Mathematica

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

PARI

for(n=0, 99, vecmin(digits(4^n))&& print1(n", ")) \\ M. F. Hasler, Mar 07 2014

Extensions

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