A244973 - cp's OEIS frontend

A244973 a(n) = Sum_{k=0..n} (-1)^kC(n, k)^2C(2k, k), where C(n, k) denotes the binomial coefficient n!/(k!(n-k)!).

n	a(n)
0	1
1	-1
2	-1
3	17
4	-65
5	49
6	881
7	-5489
8	12223
9	42785
10	-479951
11	1746271
12	440881
13	-39651457
14	212039855
15	-326783183
16	-2817155137
17	23175692033
18	-68726927071
19	-128775914225
20	2285692892785
21	-10156877725985
22	6169206210815
23	196882990135745
24	-1274770281690575

[1, -1, -1, 17, -65, 49, 881, -5489, 12223, 42785, -479951, 1746271, 440881, -39651457, 212039855, -326783183, -2817155137, 23175692033, -68726927071, -128775914225, 2285692892785, -10156877725985, 6169206210815, 196882990135745, -1274770281690575]

cp's OEIS Frontend

A244973 a(n) = Sum_{k=0..n} (-1)^kC(n, k)^2C(2k, k), where C(n, k) denotes the binomial coefficient n!/(k!(n-k)!).

Table of values

List of values

cp's OEIS Frontend

A244973 a(n) = Sum_{k=0..n} (-1)^k*C(n, k)^2*C(2*k, k), where C(n, k) denotes the binomial coefficient n!/(k!*(n-k)!).

Table of values

List of values

A244973 a(n) = Sum_{k=0..n} (-1)^kC(n, k)^2C(2k, k), where C(n, k) denotes the binomial coefficient n!/(k!(n-k)!).