A316861 - cp's OEIS frontend

A316861 a(n) = Sum_{p in P} y(1)*y(2), where P is the set of partitions of n, and y(k) is the number of parts with multiplicity at least k in p.

n	a(n)
0	0
1	0
2	1
3	1
4	4
5	7
6	13
7	22
8	38
9	58
10	93
11	139
12	208
13	302
14	438
15	616
16	869
17	1200
18	1650
19	2239
20	3026
21	4038
22	5374
23	7081
24	9292
25	12103
26	15704
27	20236
28	25992
29	33191
30	42237
31	53490
32	67524
33	84860
34	106341
35	132736
36	165212
37	204928
38	253518
39	312629
40	384585
41	471734
42	577276
43	704584
44	858078

[0, 0, 1, 1, 4, 7, 13, 22, 38, 58, 93, 139, 208, 302, 438, 616, 869, 1200, 1650, 2239, 3026, 4038, 5374, 7081, 9292, 12103, 15704, 20236, 25992, 33191, 42237, 53490, 67524, 84860, 106341, 132736, 165212, 204928, 253518, 312629, 384585, 471734, 577276, 704584, 858078]

cp's OEIS Frontend

A316861 a(n) = Sum_{p in P} y(1)*y(2), where P is the set of partitions of n, and y(k) is the number of parts with multiplicity at least k in p.

Table of values

List of values