A306361 - OEIS

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

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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 * A338840 A068861 A341935

Adjacent sequences: A306358 A306359 A306360 * A306362 A306363 A306364

KEYWORD

nonn,base

AUTHOR

Ctibor O. Zizka, Feb 10 2019

STATUS

approved