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A277779
Numbers k that only contain a 0 in bases that divide k.
2
1, 2, 3, 4, 6, 7, 8, 12, 14, 15, 16, 22, 24, 30, 36, 42, 44, 48, 60, 63, 72, 80, 90, 96, 120, 156, 158, 160, 186, 192, 212, 214, 216, 222, 240, 288, 312, 420, 432, 468, 474, 480, 484, 618, 620, 624, 840, 942, 948, 960, 996, 1124, 1200, 1224, 1494, 1560, 1656
OFFSET
1,2
COMMENTS
Probably finite.
LINKS
Chai Wah Wu, Table of n, a(n) for n = 1..261 (all terms < 10^11; first 250 terms from Charles R Greathouse IV)
EXAMPLE
6 only contains a 0 in bases 2, 3, and 6. Those bases divide 6. Therefore, 6 is in this sequence.
PROG
(PARI) is(n)=for(b=2, sqrtint(n-1), if(Set(digits(n, b))[1]==0 && n%b, return(0))); 1 \\ Charles R Greathouse IV, Oct 31 2016
CROSSREFS
Cf. A069575.
Sequence in context: A370684 A268415 A352084 * A166935 A114391 A328607
KEYWORD
nonn,base
AUTHOR
Bobby Jacobs, Oct 30 2016
EXTENSIONS
More terms from Alois P. Heinz, Oct 30 2016
STATUS
approved