A069657 - cp's OEIS frontend

A069657 Sum( S(n,k) * M(k-1), k=1..n), where S(n,k) = Stirling numbers of the second kind, M(n) = Motzkin numbers, A001006.

n	a(n)
0	0
1	1
2	2
3	6
4	24
5	115
6	628
7	3818
8	25455
9	183968
10	1428184
11	11824098
12	103794727
13	961461179
14	9360372700
15	95448502365
16	1016413911387
17	11273822075837
18	129950445723958
19	1553488011957986
20	19225242250821071
21	245899882175001580
22	3245812116097119188
23	44155099624566615247

[0, 1, 2, 6, 24, 115, 628, 3818, 25455, 183968, 1428184, 11824098, 103794727, 961461179, 9360372700, 95448502365, 1016413911387, 11273822075837, 129950445723958, 1553488011957986, 19225242250821071, 245899882175001580, 3245812116097119188, 44155099624566615247]

cp's OEIS Frontend

A069657 Sum( S(n,k) * M(k-1), k=1..n), where S(n,k) = Stirling numbers of the second kind, M(n) = Motzkin numbers, A001006.

Table of values

List of values