A302300 - cp's OEIS frontend

A302300 a(n) = Sum_{p in P} (Sum_{k_j = 1} 1)^2, where P is the set of partitions of n, and the k_j are the frequencies in p.

n	a(n)
0	0
1	1
2	1
3	5
4	6
5	12
6	21
7	33
8	50
9	79
10	116
11	169
12	246
13	346
14	487
15	675
16	927
17	1254
18	1702
19	2263
20	3014
21	3966
22	5210
23	6766
24	8795
25	11303
26	14531
27	18521
28	23583
29	29803
30	37654
31	47231
32	59206
33	73792
34	91867
35	113778
36	140788
37	173377
38	213289
39	261318
40	319764
41	389846
42	474745
43	576164

[0, 1, 1, 5, 6, 12, 21, 33, 50, 79, 116, 169, 246, 346, 487, 675, 927, 1254, 1702, 2263, 3014, 3966, 5210, 6766, 8795, 11303, 14531, 18521, 23583, 29803, 37654, 47231, 59206, 73792, 91867, 113778, 140788, 173377, 213289, 261318, 319764, 389846, 474745, 576164]

cp's OEIS Frontend

A302300 a(n) = Sum_{p in P} (Sum_{k_j = 1} 1)^2, where P is the set of partitions of n, and the k_j are the frequencies in p.

Table of values

List of values