A243101 - cp's OEIS frontend

A243101 a(n) = (sum_{k=0}^{n-1}(4k^3-1)C(n-1,k)C(n+k,k))/n^2, where C(m,k) denotes the binomial coefficient m!/(k!(m-k)!).

n	a(n)
1	-1
2	2
3	37
4	324
5	2403
6	16582
7	109961
8	711176
9	4521607
10	28394442
11	176648877
12	1090974156
13	6698429931
14	40930511502
15	249105886737
16	1510954029072
17	9138180665871
18	55128765109906
19	331851698655797
20	1993747216968788

[-1, 2, 37, 324, 2403, 16582, 109961, 711176, 4521607, 28394442, 176648877, 1090974156, 6698429931, 40930511502, 249105886737, 1510954029072, 9138180665871, 55128765109906, 331851698655797, 1993747216968788]

cp's OEIS Frontend

A243101 a(n) = (sum_{k=0}^{n-1}(4k^3-1)C(n-1,k)C(n+k,k))/n^2, where C(m,k) denotes the binomial coefficient m!/(k!(m-k)!).

Table of values

List of values

cp's OEIS Frontend

A243101 a(n) = (sum_{k=0}^{n-1}(4*k^3-1)*C(n-1,k)*C(n+k,k))/n^2, where C(m,k) denotes the binomial coefficient m!/(k!*(m-k)!).

Table of values

List of values

A243101 a(n) = (sum_{k=0}^{n-1}(4k^3-1)C(n-1,k)C(n+k,k))/n^2, where C(m,k) denotes the binomial coefficient m!/(k!(m-k)!).