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
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