A304784 - cp's OEIS frontend

A304784 Expansion of Product_{k>=1} 1/(1 + x^k)^p(k), where p(k) = number of partitions of k (A000041).

n	a(n)
0	1
1	-1
2	-1
3	-2
4	0
5	-1
6	2
7	3
8	11
9	8
10	19
11	13
12	22
13	-5
14	-10
15	-80
16	-105
17	-246
18	-303
19	-502
20	-506
21	-681
22	-400
23	-231
24	873
25	1956
26	4733
27	7536
28	12891
29	17609
30	25188
31	29508
32	34890
33	29690
34	19039
35	-17742
36	-74002
37	-183563
38	-333665
39	-572271
40	-866683
41	-1271429
42	-1698491
43	-2181207

[1, -1, -1, -2, 0, -1, 2, 3, 11, 8, 19, 13, 22, -5, -10, -80, -105, -246, -303, -502, -506, -681, -400, -231, 873, 1956, 4733, 7536, 12891, 17609, 25188, 29508, 34890, 29690, 19039, -17742, -74002, -183563, -333665, -572271, -866683, -1271429, -1698491, -2181207]

cp's OEIS Frontend

A304784 Expansion of Product_{k>=1} 1/(1 + x^k)^p(k), where p(k) = number of partitions of k (A000041).

Table of values

List of values