A302347 - cp's OEIS frontend

A302347 a(n) = Sum of (Y(2,p)^2) over the partitions p of n, Y(2,p) = number of part sizes with multiplicity 2 or greater in p.

n	a(n)
0	0
1	0
2	1
3	1
4	3
5	4
6	10
7	13
8	25
9	34
10	59
11	80
12	127
13	172
14	260
15	349
16	505
17	673
18	946
19	1248
20	1711
21	2238
22	3010
23	3902
24	5162
25	6637
26	8663
27	11051
28	14253
29	18051
30	23047
31	28988
32	36677
33	45840
34	57538
35	71485
36	89082
37	110062
38	136269
39	167487
40	206138
41	252132
42	308640
43	375777
44	457698

[0, 0, 1, 1, 3, 4, 10, 13, 25, 34, 59, 80, 127, 172, 260, 349, 505, 673, 946, 1248, 1711, 2238, 3010, 3902, 5162, 6637, 8663, 11051, 14253, 18051, 23047, 28988, 36677, 45840, 57538, 71485, 89082, 110062, 136269, 167487, 206138, 252132, 308640, 375777, 457698]

cp's OEIS Frontend

A302347 a(n) = Sum of (Y(2,p)^2) over the partitions p of n, Y(2,p) = number of part sizes with multiplicity 2 or greater in p.

Table of values

List of values