

A238938


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


17



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
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OFFSET

1,2


COMMENTS

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


LINKS



FORMULA



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



KEYWORD

nonn,base


AUTHOR



EXTENSIONS

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


STATUS

approved



