A238938 Powers of 2 without the digit '0' in their decimal expansion.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 8192, 16384, 32768, 65536, 262144, 524288, 16777216, 33554432, 134217728, 268435456, 2147483648, 4294967296, 8589934592, 17179869184, 34359738368, 68719476736, 137438953472, 549755813888, 562949953421312, 2251799813685248, 147573952589676412928

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.

Examples

			256 = 2^8 is in the sequence because 256 has a 2, a 5 and a 6 but no 0's.
512 = 2^9 is also in because it has a 1, a 2 and a 5 but no 0's.
1024 = 2^10 is not in the sequence because it has a 0.
		

Links

• Daniel Mondot, Table of n, a(n) for n = 1..36
• M. F. Hasler, Zeroless powers, OEIS wiki, Mar 07 2014

Crossrefs

Cf. A007377, A030700, A030701, A008839, A030702, A030703, A030704, A030705, A030706, A195944.

Cf. A195908, A195946, A195945.

Cf. A195942, A195943, A027870, A102483.

Programs

Mathematica

Select[2^Range[0, 127], DigitCount[#, 10, 0] == 0 &] (* Alonso del Arte, Mar 07 2014 *)

PARI

for(n=0,99,vecmin(digits(2^n))&& print1(2^n","))

Formula

a(n) = 2^A007377(n).

Extensions

'fini' keyword removed as finiteness is only conjectured by Max Alekseyev, Apr 10 2019