A245059 - cp's OEIS frontend

A245059 a(n) = Sum_{k=1..n} C(n-1,k-1) * S2(n,k) * 2^(n-k) for n>0, a(0)=1, where S2(n,k) = A048993(n,k) are Stirling numbers of the 2nd kind.

n	a(n)
0	1
1	1
2	3
3	17
4	129
5	1177
6	12463
7	149053
8	1975473
9	28628865
10	449059179
11	7562334793
12	135837896769
13	2588529249737
14	52093016105575
15	1102851978691749
16	24480094135644513
17	568066476383361793
18	13745454515733689427
19	346020796943921077057
20	9043636093339718229697
21	244954584886648170627641

[1, 1, 3, 17, 129, 1177, 12463, 149053, 1975473, 28628865, 449059179, 7562334793, 135837896769, 2588529249737, 52093016105575, 1102851978691749, 24480094135644513, 568066476383361793, 13745454515733689427, 346020796943921077057, 9043636093339718229697, 244954584886648170627641]

cp's OEIS Frontend

A245059 a(n) = Sum_{k=1..n} C(n-1,k-1) * S2(n,k) * 2^(n-k) for n>0, a(0)=1, where S2(n,k) = A048993(n,k) are Stirling numbers of the 2nd kind.

Table of values

List of values