A294141 Number of partitions of n into odd parts that do not divide n.

1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 3, 0, 5, 5, 2, 7, 5, 1, 11, 14, 6, 9, 20, 5, 18, 33, 5, 43, 50, 12, 58, 17, 16, 91, 96, 26, 58, 146, 23, 183, 148, 11, 241, 285, 88, 187, 152, 98, 367, 537, 87, 177, 376, 179, 857, 983, 77, 1195, 1274, 79, 1596, 468, 290, 2117, 1887, 549, 460, 3064, 440

Offset: 0

Author

Ilya Gutkovskiy, Oct 23 2017

Keywords

• nonn

Examples

			a(13) = 2 because we have [7, 3, 3] and [5, 5, 3].
		

Links

• Index entries for sequences related to partitions

Crossrefs

Cf. A000009, A098743, A128515, A171565, A200745, A294142.

Programs

Mathematica

Table[SeriesCoefficient[Product[1/(1 - Boole[Mod[n, k] > 0 && OddQ[k]] x^k), {k, 1, n}], {x, 0, n}], {n, 0, 72}]