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

Author

Bobby Jacobs, Oct 30 2016

Keywords

• nonn
• base

Comments

Probably finite.

Examples

			6 only contains a 0 in bases 2, 3, and 6. Those bases divide 6. Therefore, 6 is in this sequence.
		

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)

Crossrefs

Cf. A069575.

Programs

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

Extensions

More terms from Alois P. Heinz, Oct 30 2016