A363983 - cp's OEIS frontend

A363983 a(n) = Sum_{k = floor((n+1)/2)..n} (-1)^(n+k)binomial(n,k)binomial(n+k-1,k)binomial(2k,n).

n	a(n)
0	1
1	2
2	14
3	128
4	1310
5	14252
6	161168
7	1872096
8	22179102
9	266766500
10	3247293764
11	39914850560
12	494587904720
13	6170138404640
14	77420709800000
15	976308769560128
16	12365391374849310
17	157214288994620820
18	2005631418267291740

[1, 2, 14, 128, 1310, 14252, 161168, 1872096, 22179102, 266766500, 3247293764, 39914850560, 494587904720, 6170138404640, 77420709800000, 976308769560128, 12365391374849310, 157214288994620820, 2005631418267291740]

cp's OEIS Frontend

A363983 a(n) = Sum_{k = floor((n+1)/2)..n} (-1)^(n+k)binomial(n,k)binomial(n+k-1,k)binomial(2k,n).

Table of values

List of values

cp's OEIS Frontend

A363983 a(n) = Sum_{k = floor((n+1)/2)..n} (-1)^(n+k)*binomial(n,k)*binomial(n+k-1,k)*binomial(2*k,n).

Table of values

List of values

A363983 a(n) = Sum_{k = floor((n+1)/2)..n} (-1)^(n+k)binomial(n,k)binomial(n+k-1,k)binomial(2k,n).