A291552 - cp's OEIS frontend

A291552 Expansion of (1/(1 - x))*Product_{k>=1} 1/(1 - x^k)^p(k), where p(k) is the number of partitions of k (A000041).

n	a(n)
0	1
1	2
2	5
3	11
4	25
5	52
6	110
7	221
8	444
9	868
10	1685
11	3212
12	6082
13	11361
14	21071
15	38693
16	70570
17	127670
18	229557
19	409963
20	728069
21	1285522
22	2258318
23	3947115
24	6867238
25	11893648
26	20513199
27	35235429
28	60292928
29	102787903
30	174620017
31	295644893
32	498931699
33	839367287
34	1407864040
35	2354559426
36	3926878130

[1, 2, 5, 11, 25, 52, 110, 221, 444, 868, 1685, 3212, 6082, 11361, 21071, 38693, 70570, 127670, 229557, 409963, 728069, 1285522, 2258318, 3947115, 6867238, 11893648, 20513199, 35235429, 60292928, 102787903, 174620017, 295644893, 498931699, 839367287, 1407864040, 2354559426, 3926878130]

cp's OEIS Frontend

A291552 Expansion of (1/(1 - x))*Product_{k>=1} 1/(1 - x^k)^p(k), where p(k) is the number of partitions of k (A000041).

Table of values

List of values