A306361 Numbers k divisible by A101337(k) (narcissistic function).

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 50, 100, 110, 111, 153, 200, 221, 370, 371, 407, 500, 702, 1000, 1010, 1011, 1020, 1100, 1101, 1110, 1121, 1122, 1634, 2000, 2322, 4104, 5000, 8208, 9474, 10000, 10010, 10011, 10100, 10101, 10110, 11000, 11001, 11010, 11022, 11100, 11122, 11220, 12012, 12110, 12210, 12320, 14550

Offset: 1

Author

Ctibor O. Zizka, Feb 10 2019

Keywords

• nonn
• base

Comments

A005188 is a subsequence of this sequence.

Numbers in A007088 with either 3 or 9 ones are terms of this sequence. - Chai Wah Wu, Feb 26 2019

For all N in A007088 we have A101337(N) = A007953(N) = number of digits '1'; whenever this equals 2^k*5^m (k, m >= 0) and N ends in max(k,m) '0's, then N is also in this sequence. - M. F. Hasler, Nov 18 2019

Examples

			For k = 20, 20 / (2^2 + 0^2) = 5;
for k = 221, 221 / (2^3 + 2^3 + 1^3) = 13.
		

Crossrefs

Cf. A005188, A007088, A101337, A306354, A306360.

Programs

PARI

isok(n) = frac(n/A101337(n)) == 0; \\ Michel Marcus, Feb 11 2019

PARI

select( is_A306361=t->!(t%A101337(t)), [0..9999]) \\ M. F. Hasler, Nov 18 2019