A301313 - cp's OEIS frontend

A301313 a(n) = Sum_{p in P} binomial(H(2,p),2), where P is the set of partitions of n, and H(2,p) = number of hooks of size 2 in p.

n	a(n)
0	0
1	0
2	0
3	0
4	1
5	1
6	6
7	7
8	18
9	24
10	49
11	66
12	116
13	158
14	255
15	346
16	525
17	707
18	1030
19	1374
20	1936
21	2560
22	3519
23	4608
24	6207
25	8056
26	10673
27	13735
28	17942
29	22906
30	29569
31	37469
32	47864
33	60235
34	76249
35	95335
36	119705
37	148770
38	185447
39	229182
40	283810
41	348903
42	429498
43	525411
44	643244

[0, 0, 0, 0, 1, 1, 6, 7, 18, 24, 49, 66, 116, 158, 255, 346, 525, 707, 1030, 1374, 1936, 2560, 3519, 4608, 6207, 8056, 10673, 13735, 17942, 22906, 29569, 37469, 47864, 60235, 76249, 95335, 119705, 148770, 185447, 229182, 283810, 348903, 429498, 525411, 643244]

cp's OEIS Frontend

A301313 a(n) = Sum_{p in P} binomial(H(2,p),2), where P is the set of partitions of n, and H(2,p) = number of hooks of size 2 in p.

Table of values

List of values