A055892 - OEIS

A055892

Also aperiodic partitions of n into k parts

1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 3, 4, 3, 2, 1, 0, 1, 3, 5, 3, 3, 1, 1, 0, 1, 4, 6, 6, 5, 2, 2, 1, 0, 1, 4, 8, 7, 6, 3, 3, 1, 1, 0, 1, 5, 10, 11, 10, 7, 5, 3, 2, 1, 0, 1, 5, 11, 12, 13, 7, 7, 3, 2, 1, 1, 0, 1, 6, 14, 18, 18, 14, 11, 7, 5, 3, 2, 1, 0, 1, 6, 16, 20, 23

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OFFSET

1,12

LINKS

Table of n, a(n) for n=1..96.

N. J. A. Sloane, Transforms

FORMULA

Moebius transform of partition triangle A008284.

EXAMPLE

1; 1,0; 1,1,0; 1,1,1,0; 1,2,2,1,0; ...

For n=6, 2+2+1+1 is periodic because it can be written 2*(2+1), similarly 1+1+1+1+1+1, 3+3 and 2+2+2.

CROSSREFS