A304967 - cp's OEIS frontend

A304967 Expansion of Product_{k>=1} 1/(1 - x^k)^(p(k)-p(k-1)), where p(k) = number of partitions of k (A000041).

n	a(n)
0	1
1	0
2	1
3	1
4	3
5	3
6	8
7	9
8	20
9	26
10	49
11	68
12	123
13	173
14	295
15	432
16	707
17	1044
18	1672
19	2483
20	3900
21	5817
22	8993
23	13424
24	20539
25	30609
26	46399
27	69052
28	103879
29	154198
30	230550
31	341261
32	507484
33	749028
34	1108559
35	1631340
36	2404311
37	3527615
38	5179317
39	7577263
40	11086413
41	16173577
42	23588227

[1, 0, 1, 1, 3, 3, 8, 9, 20, 26, 49, 68, 123, 173, 295, 432, 707, 1044, 1672, 2483, 3900, 5817, 8993, 13424, 20539, 30609, 46399, 69052, 103879, 154198, 230550, 341261, 507484, 749028, 1108559, 1631340, 2404311, 3527615, 5179317, 7577263, 11086413, 16173577, 23588227]

cp's OEIS Frontend

A304967 Expansion of Product_{k>=1} 1/(1 - x^k)^(p(k)-p(k-1)), where p(k) = number of partitions of k (A000041).

Table of values

List of values