A331518 - cp's OEIS frontend

A331518 a(n) = Sum_{k=0..n} q(n,k) * !k, where q(n,k) = number of partitions of n into k distinct parts and !k = subfactorial of k.

n	a(n)
0	1
1	0
2	0
3	1
4	1
5	2
6	4
7	5
8	7
9	10
10	21
11	24
12	37
13	49
14	71
15	129
16	160
17	227
18	313
19	433
20	572
21	1012
22	1213
23	1750
24	2315
25	3223
26	4159
27	5740
28	8945
29	11206
30	15402
31	20506
32	27545
33	36068
34	48122
35	61960
36	94694
37	116240
38	158580
39	205397
40	276458
41	352526
42	470101
43	596433
44	781224
45	1111228

[1, 0, 0, 1, 1, 2, 4, 5, 7, 10, 21, 24, 37, 49, 71, 129, 160, 227, 313, 433, 572, 1012, 1213, 1750, 2315, 3223, 4159, 5740, 8945, 11206, 15402, 20506, 27545, 36068, 48122, 61960, 94694, 116240, 158580, 205397, 276458, 352526, 470101, 596433, 781224, 1111228]

cp's OEIS Frontend

A331518 a(n) = Sum_{k=0..n} q(n,k) * !k, where q(n,k) = number of partitions of n into k distinct parts and !k = subfactorial of k.

Table of values

List of values