A277779 Numbers k that only contain a 0 in bases that divide k.

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

Adjacent sequences: A277776 A277777 A277778 * A277780 A277781 A277782

Keyword

nonn,base

Author

Bobby Jacobs, Oct 30 2016

Extensions

More terms from Alois P. Heinz, Oct 30 2016

Status

approved