A319162 - OEIS

A319162

Number of periodic integer partitions of n whose multiplicities are aperiodic, meaning the multiplicities of these multiplicities are relatively prime.

0, 1, 1, 2, 1, 3, 1, 4, 2, 6, 1, 9, 1, 12, 6, 16, 1, 27, 1, 33, 12, 46, 1, 70, 5, 84, 22, 110, 1, 172, 1, 188, 46, 251, 15, 366, 1, 418, 84, 540, 1, 775, 1, 863, 162, 1095, 1, 1535, 11, 1750, 251, 2154, 1, 2963, 49, 3323, 418, 4106, 1, 5567

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OFFSET

1,4

LINKS

Table of n, a(n) for n=1..60.

EXAMPLE

The a(12) = 9 partitions:

(66),

(444), (441111),

(3333), (33111111),

(222222), (222111111), (2211111111),

(111111111111).