A305651 - cp's OEIS frontend

A305651 Expansion of Product_{k>=1} (1 + x^k)^(q(k)-1), where q(k) = number of partitions of k into distinct parts (A000009).

n	a(n)
0	1
1	0
2	0
3	1
4	1
5	2
6	3
7	5
8	7
9	12
10	17
11	26
12	39
13	59
14	87
15	132
16	192
17	284
18	419
19	612
20	892
21	1303
22	1887
23	2730
24	3945
25	5677
26	8154
27	11689
28	16711
29	23839
30	33960
31	48244
32	68432
33	96888
34	136922
35	193148
36	272058
37	382508
38	537007
39	752735
40	1053550
41	1472406
42	2054988
43	2863993
44	3986245
45	5541008

[1, 0, 0, 1, 1, 2, 3, 5, 7, 12, 17, 26, 39, 59, 87, 132, 192, 284, 419, 612, 892, 1303, 1887, 2730, 3945, 5677, 8154, 11689, 16711, 23839, 33960, 48244, 68432, 96888, 136922, 193148, 272058, 382508, 537007, 752735, 1053550, 1472406, 2054988, 2863993, 3986245, 5541008]

cp's OEIS Frontend

A305651 Expansion of Product_{k>=1} (1 + x^k)^(q(k)-1), where q(k) = number of partitions of k into distinct parts (A000009).

Table of values

List of values