A378611 - cp's OEIS frontend

A378611 a(n) = Sum_{k=0..n} binomial(2n+k-1,k) binomial(n-1,n-k).

n	a(n)
0	1
1	2
2	14
3	104
4	806
5	6412
6	51908
7	425476
8	3520070
9	29332940
10	245841284
11	2070093632
12	17499188924
13	148414157816
14	1262280506144
15	10762045739644
16	91951462167110
17	787113739061260
18	6749009521216052
19	57954807274992208
20	498334047795436276
21	4290199618047230824

[1, 2, 14, 104, 806, 6412, 51908, 425476, 3520070, 29332940, 245841284, 2070093632, 17499188924, 148414157816, 1262280506144, 10762045739644, 91951462167110, 787113739061260, 6749009521216052, 57954807274992208, 498334047795436276, 4290199618047230824]

cp's OEIS Frontend

A378611 a(n) = Sum_{k=0..n} binomial(2n+k-1,k) binomial(n-1,n-k).

Table of values

List of values

cp's OEIS Frontend

A378611 a(n) = Sum_{k=0..n} binomial(2*n+k-1,k) * binomial(n-1,n-k).

Table of values

List of values

A378611 a(n) = Sum_{k=0..n} binomial(2n+k-1,k) binomial(n-1,n-k).