A271777 - cp's OEIS frontend

A271777 a(n) = Sum_{k=1..n} ((-1)^(n-k) * k / ((n+1)^2 + (k-1)(n+1))) binomial(n+1, k+1) * binomial(n+k, k)^2.

n	a(n)
0	0
1	1
2	3
3	16
4	105
5	771
6	6083
7	50464
8	434493
9	3849715
10	34895685
11	322239204
12	3021922137
13	28710585099
14	275827551795
15	2675584398912
16	26173225402437
17	257940602058051
18	2558852771578817
19	25534696636443160
20	256164209036422239
21	2582189471692118101
22	26142642319644094293

[0, 1, 3, 16, 105, 771, 6083, 50464, 434493, 3849715, 34895685, 322239204, 3021922137, 28710585099, 275827551795, 2675584398912, 26173225402437, 257940602058051, 2558852771578817, 25534696636443160, 256164209036422239, 2582189471692118101, 26142642319644094293]

cp's OEIS Frontend

A271777 a(n) = Sum_{k=1..n} ((-1)^(n-k) * k / ((n+1)^2 + (k-1)(n+1))) binomial(n+1, k+1) * binomial(n+k, k)^2.

Table of values

List of values

cp's OEIS Frontend

A271777 a(n) = Sum_{k=1..n} ((-1)^(n-k) * k / ((n+1)^2 + (k-1)*(n+1))) * binomial(n+1, k+1) * binomial(n+k, k)^2.

Table of values

List of values

A271777 a(n) = Sum_{k=1..n} ((-1)^(n-k) * k / ((n+1)^2 + (k-1)(n+1))) binomial(n+1, k+1) * binomial(n+k, k)^2.