A316231 - cp's OEIS frontend

A316231 Expansion of Product_{k>=1} 1/(1 + q(k)*x^k), where q(k) = number of partitions of k into distinct parts (A000009).

n	a(n)
0	1
1	-1
2	0
3	-2
4	1
5	-2
6	3
7	-3
8	6
9	-8
10	14
11	-10
12	28
13	-26
14	41
15	-73
16	90
17	-112
18	155
19	-221
20	288
21	-501
22	560
23	-799
24	1153
25	-1610
26	1953
27	-3095
28	4073
29	-5224
30	7295
31	-9536
32	13536
33	-18402
34	24757
35	-32936
36	48714
37	-60790
38	82101
39	-113247
40	153330
41	-201522
42	275713
43	-367041
44	492991

[1, -1, 0, -2, 1, -2, 3, -3, 6, -8, 14, -10, 28, -26, 41, -73, 90, -112, 155, -221, 288, -501, 560, -799, 1153, -1610, 1953, -3095, 4073, -5224, 7295, -9536, 13536, -18402, 24757, -32936, 48714, -60790, 82101, -113247, 153330, -201522, 275713, -367041, 492991]

cp's OEIS Frontend

A316231 Expansion of Product_{k>=1} 1/(1 + q(k)*x^k), where q(k) = number of partitions of k into distinct parts (A000009).

Table of values

List of values