A304825 - cp's OEIS frontend

A304825 Sum of binomial(Y(2,p), 2) over the partitions p of n, where Y(2,p) is the number of part sizes with multiplicity 2 or greater in p.

n	a(n)
6	1
7	1
8	3
9	4
10	9
11	12
12	22
13	30
14	50
15	68
16	105
17	142
18	210
19	281
20	400
21	531
22	736
23	967
24	1311
25	1707
26	2274
27	2935
28	3851
29	4930
30	6389
31	8116
32	10402
33	13121
34	16658
35	20872
36	26275
37	32719
38	40880
39	50613
40	62807
41	77343
42	95389
43	116874
44	143331
45	174789
46	213251
47	258903
48	314367
49	380079
50	459462

[1, 1, 3, 4, 9, 12, 22, 30, 50, 68, 105, 142, 210, 281, 400, 531, 736, 967, 1311, 1707, 2274, 2935, 3851, 4930, 6389, 8116, 10402, 13121, 16658, 20872, 26275, 32719, 40880, 50613, 62807, 77343, 95389, 116874, 143331, 174789, 213251, 258903, 314367, 380079, 459462]

cp's OEIS Frontend

A304825 Sum of binomial(Y(2,p), 2) over the partitions p of n, where Y(2,p) is the number of part sizes with multiplicity 2 or greater in p.

Table of values

List of values