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

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.

Sequence in context: A054656 A080096 A322978 * A068915 A302193 A133925

Adjacent sequences: A294139 A294140 A294141 * A294143 A294144 A294145

Keyword

nonn

Author

Ilya Gutkovskiy, Oct 23 2017

Status

approved