login
A294141
Number of partitions of n into odd parts that do not divide n.
1
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
0,14
EXAMPLE
a(13) = 2 because we have [7, 3, 3] and [5, 5, 3].
MATHEMATICA
Table[SeriesCoefficient[Product[1/(1 - Boole[Mod[n, k] > 0 && OddQ[k]] x^k), {k, 1, n}], {x, 0, n}], {n, 0, 72}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Oct 23 2017
STATUS
approved