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

1,2

Comments

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

Links

Daniel Mondot, Table of n, a(n) for n = 1..36

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

Formula

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

Example

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.

Mathematica

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

Prog

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

Crossrefs

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

Cf. A195908, A195946, A195945.

Cf. A195942, A195943, A027870, A102483.

Sequence in context: A274862 A275076 A275064 * A103662 A180211 A275075

Adjacent sequences: A238935 A238936 A238937 * A238939 A238940 A238941

Keyword

nonn,base

Author

M. F. Hasler, Mar 07 2014

Extensions

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

Status

approved