A331517 - cp's OEIS frontend

A331517 a(n) = Sum_{k=0..n} p(n,k) * !k, where p(n,k) = number of partitions of n into k parts and !k = subfactorial of k.

n	a(n)
0	1
1	0
2	1
3	3
4	13
5	59
6	336
7	2245
8	17408
9	153124
10	1505420
11	16342711
12	194060616
13	2501178199
14	34766184181
15	518332353130
16	8250146291076
17	139618375340912
18	2503167665128431
19	47393482639721484
20	944910760664087791
21	19787603213440946946
22	434229133448518143203

[1, 0, 1, 3, 13, 59, 336, 2245, 17408, 153124, 1505420, 16342711, 194060616, 2501178199, 34766184181, 518332353130, 8250146291076, 139618375340912, 2503167665128431, 47393482639721484, 944910760664087791, 19787603213440946946, 434229133448518143203]

cp's OEIS Frontend

A331517 a(n) = Sum_{k=0..n} p(n,k) * !k, where p(n,k) = number of partitions of n into k parts and !k = subfactorial of k.

Table of values

List of values