A372346 - cp's OEIS frontend

A372346 a(n) = Sum_{j=0..n} p(n - j, j) where p(n, x) = Sum_{k=0..n} k! * Stirling2(n, k) * x^k. Row sums of A344499.

n	a(n)
0	1
1	1
2	2
3	6
4	27
5	175
6	1532
7	17276
8	243093
9	4165261
10	85133686
11	2039546786
12	56447550543
13	1783865468187
14	63766726231792
15	2558290237404920
16	114418196763735113
17	5670168958036693977
18	309630356618418661738
19	18536683645526372648446
20	1211038603734731649106307
21	85983731724631359047504967

[1, 1, 2, 6, 27, 175, 1532, 17276, 243093, 4165261, 85133686, 2039546786, 56447550543, 1783865468187, 63766726231792, 2558290237404920, 114418196763735113, 5670168958036693977, 309630356618418661738, 18536683645526372648446, 1211038603734731649106307, 85983731724631359047504967]

cp's OEIS Frontend

A372346 a(n) = Sum_{j=0..n} p(n - j, j) where p(n, x) = Sum_{k=0..n} k! * Stirling2(n, k) * x^k. Row sums of A344499.

Table of values

List of values