A294142 - OEIS

A294142

Number of partitions of n into distinct odd parts that do not divide n.

1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 3, 1, 2, 2, 3, 0, 4, 4, 4, 2, 6, 1, 6, 8, 4, 10, 12, 4, 12, 5, 7, 17, 17, 8, 14, 24, 9, 29, 24, 4, 33, 40, 25, 29, 28, 23, 45, 63, 23, 30, 52, 37, 84, 99, 26, 113, 112, 23, 143, 60, 57, 173, 143, 89, 70, 226, 87, 256, 256, 53, 245, 135, 127, 378, 233

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OFFSET

0,15

LINKS

Table of n, a(n) for n=0..80.

Index entries for sequences related to partitions

EXAMPLE

a(14) = 2 because we have [11, 3] and [9, 5].

MATHEMATICA

Table[SeriesCoefficient[Product[1 + Boole[Mod[n, k] > 0 && OddQ[k]] x^k, {k, 1, n}], {x, 0, n}], {n, 0, 80}]

CROSSREFS

Cf. A000700, A098743, A171565, A200745, A209402, A294141.