A262441 - cp's OEIS frontend

A262441 a(n) = Sum_{k=0..n+1}(binomial(n-1,k)/(k+1)*binomial(n+k+1,n-k)).

n	a(n)
0	1
1	2
2	5
3	16
4	58
5	226
6	924
7	3910
8	16979
9	75232
10	338776
11	1545886
12	7132580
13	33219086
14	155963851
15	737383488
16	3507680650
17	16776206680
18	80622416976
19	389123999656
20	1885405316596
21	9167409871040
22	44717351734160
23	218762640192838
24	1073082055680180

[1, 2, 5, 16, 58, 226, 924, 3910, 16979, 75232, 338776, 1545886, 7132580, 33219086, 155963851, 737383488, 3507680650, 16776206680, 80622416976, 389123999656, 1885405316596, 9167409871040, 44717351734160, 218762640192838, 1073082055680180]

cp's OEIS Frontend

A262441 a(n) = Sum_{k=0..n+1}(binomial(n-1,k)/(k+1)*binomial(n+k+1,n-k)).

Table of values

List of values