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A238938 Powers of 2 without the digit '0' in their decimal expansion. 15
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. See the OEIS wiki page for further information, references and links.

LINKS

Table of n, a(n) for n=1..31.

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 0s.

512 = 2^9 is also in because it has a 1, a 2 and a 5 but no 0s.

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

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Last modified October 21 14:11 EDT 2019. Contains 328301 sequences. (Running on oeis4.)