A238940 Powers of 4 without the digit '0' in their decimal expansion.

1, 4, 16, 64, 256, 16384, 65536, 262144, 16777216, 268435456, 4294967296, 17179869184, 68719476736, 4722366482869645213696, 75557863725914323419136, 77371252455336267181195264

Offset: 1

Author

M. F. Hasler, Mar 07 2014

Keywords

• nonn
• base

Comments

Conjectured to be finite and complete. See the OEIS wiki page for further information, references and links.

Links

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

Crossrefs

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

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

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

Programs

Mathematica

Select[4^Range[0,50],DigitCount[#,10,0]==0&] (* Harvey P. Dale, Aug 31 2021 *)

PARI

for(n=0,99,vecmin(digits(4^n))&& print1(4^n","))

Formula

a(n)=4^A030701(n).

Extensions

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