A005197 - cp's OEIS frontend

A005197 a(n) = Sum_t t*F(n,t), where F(n,t) (see A033185) is the number of rooted forests with n (unlabeled) nodes and exactly t rooted trees.

n	a(n)
1	1
2	3
3	7
4	17
5	39
6	96
7	232
8	583
9	1474
10	3797
11	9864
12	25947
13	68738
14	183612
15	493471
16	1334143
17	3624800
18	9893860
19	27113492
20	74577187
21	205806860
22	569678759
23	1581243203
24	4400193551
25	12273287277
26	34307646762
27	96093291818
28	269654004899
29	758014312091
30	2134300171031

[1, 3, 7, 17, 39, 96, 232, 583, 1474, 3797, 9864, 25947, 68738, 183612, 493471, 1334143, 3624800, 9893860, 27113492, 74577187, 205806860, 569678759, 1581243203, 4400193551, 12273287277, 34307646762, 96093291818, 269654004899, 758014312091, 2134300171031]

cp's OEIS Frontend

A005197 a(n) = Sum_t t*F(n,t), where F(n,t) (see A033185) is the number of rooted forests with n (unlabeled) nodes and exactly t rooted trees.

Table of values

List of values