A360562 a(n) is the least k such that k*n is a Zumkeller number (A083207).

6, 3, 2, 3, 4, 1, 4, 3, 6, 2, 6, 1, 6, 2, 2, 3, 6, 3, 6, 1, 2, 3, 6, 1, 6, 3, 2, 1, 6, 1, 6, 3, 2, 3, 2, 3, 6, 3, 2, 1, 6, 1, 6, 2, 2, 3, 6, 1, 6, 3, 2, 2, 6, 1, 4, 1, 2, 3, 6, 1, 6, 3, 2, 3, 4, 1, 6, 3, 2, 1, 6, 3, 6, 3, 2, 3, 4, 1, 6, 1, 6, 3, 6, 1, 4, 3, 2

Offset

1,1

Comments

This sequence is well defined (see A360561).

The values among the first 200000 terms are distributed as follows:

v # of occurrences

- ----------------

1 45927

2 45015

3 41953

4 18109

5 10

6 48986

Links

Table of n, a(n) for n=1..87.

Formula

1 <= a(n) <= 6.

a(n) = A360561(n) / n.

a(n) = 1 iff n belongs to A083207.

Prog

(PARI) a(n) = { for (k=1, oo, if (is(k*n), return (k))) } \\ see A083207 for the function "is"

Crossrefs

Cf. A083207, A360561.

Sequence in context: A068924 A106224 A254571 * A244815 A226579 A129203

Adjacent sequences: A360559 A360560 A360561 * A360563 A360564 A360565

Keyword

nonn

Author

Rémy Sigrist, Feb 11 2023

Status

approved