A378463 - cp's OEIS frontend

A378463 a(n) = Sum_{k=0..floor(n/3)} binomial(n+k-1,k) * binomial(2n-k-1,n-3k).

n	a(n)
0	1
1	1
2	3
3	13
4	59
5	266
6	1203
7	5489
8	25259
9	117022
10	545038
11	2549592
12	11970035
13	56372460
14	266194295
15	1259910113
16	5975382699
17	28390616727
18	135108035502
19	643891031826
20	3072604703774
21	14679493913048
22	70206875750168
23	336103001918788
24	1610476039036259
25	7723148579525441

[1, 1, 3, 13, 59, 266, 1203, 5489, 25259, 117022, 545038, 2549592, 11970035, 56372460, 266194295, 1259910113, 5975382699, 28390616727, 135108035502, 643891031826, 3072604703774, 14679493913048, 70206875750168, 336103001918788, 1610476039036259, 7723148579525441]

cp's OEIS Frontend

A378463 a(n) = Sum_{k=0..floor(n/3)} binomial(n+k-1,k) * binomial(2n-k-1,n-3k).

Table of values

List of values

cp's OEIS Frontend

A378463 a(n) = Sum_{k=0..floor(n/3)} binomial(n+k-1,k) * binomial(2*n-k-1,n-3*k).

Table of values

List of values

A378463 a(n) = Sum_{k=0..floor(n/3)} binomial(n+k-1,k) * binomial(2n-k-1,n-3k).