

A306361


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


2



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
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OFFSET

1,2


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


LINKS

Table of n, a(n) for n=1..57.


EXAMPLE

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


PROG

(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


CROSSREFS

Cf. A005188, A007088, A101337, A306354, A306360.
Sequence in context: A166508 A223080 A248651 * A068861 A256079 A216556
Adjacent sequences: A306358 A306359 A306360 * A306362 A306363 A306364


KEYWORD

nonn,base


AUTHOR

Ctibor O. Zizka, Feb 10 2019


STATUS

approved



