A122455 - cp's OEIS frontend

A122455 a(n) = Sum_{k=0..n} C(n,k)*S2(n,k). Binomial convolution of the Stirling numbers of the 2nd kind. Also sum of the rows of A122454.

n	a(n)
0	1
1	1
2	3
3	13
4	71
5	456
6	3337
7	27203
8	243203
9	2357356
10	24554426
11	272908736
12	3218032897
13	40065665043
14	524575892037
15	7197724224361
16	103188239447115
17	1541604242708064
18	23945078236133674
19	385890657416861532
20	6440420888899573136
21	111132957321230896024

[1, 1, 3, 13, 71, 456, 3337, 27203, 243203, 2357356, 24554426, 272908736, 3218032897, 40065665043, 524575892037, 7197724224361, 103188239447115, 1541604242708064, 23945078236133674, 385890657416861532, 6440420888899573136, 111132957321230896024]

cp's OEIS Frontend

A122455 a(n) = Sum_{k=0..n} C(n,k)*S2(n,k). Binomial convolution of the Stirling numbers of the 2nd kind. Also sum of the rows of A122454.

Table of values

List of values