A316230 - cp's OEIS frontend

A316230 Expansion of Product_{k>=1} 1/(1 + p(k)*x^k), where p(k) = number of partitions of k (A000041).

n	a(n)
0	1
1	-1
2	-1
3	-2
4	1
5	-2
6	2
7	0
8	24
9	-17
10	31
11	-21
12	94
13	-107
14	121
15	-443
16	742
17	-977
18	532
19	-2159
20	3275
21	-6193
22	6988
23	-11156
24	30278
25	-39214
26	42759
27	-80255
28	149070
29	-193093
30	291229
31	-451125
32	1017812
33	-1335848
34	1609412
35	-3248202
36	5606551
37	-7684574
38	10012531
39	-17908468

[1, -1, -1, -2, 1, -2, 2, 0, 24, -17, 31, -21, 94, -107, 121, -443, 742, -977, 532, -2159, 3275, -6193, 6988, -11156, 30278, -39214, 42759, -80255, 149070, -193093, 291229, -451125, 1017812, -1335848, 1609412, -3248202, 5606551, -7684574, 10012531, -17908468]

cp's OEIS Frontend

A316230 Expansion of Product_{k>=1} 1/(1 + p(k)*x^k), where p(k) = number of partitions of k (A000041).

Table of values

List of values