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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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
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
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
Sequence in context: A274862 A275076 A275064 * A103662 A180211 A275075
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

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Last modified November 30 02:55 EST 2023. Contains 367452 sequences. (Running on oeis4.)