A344503 - cp's OEIS frontend

A344503 a(n) = Sum_{k=0..n} (-1)^(n-k)binomial(n, k)^2hypergeom([(k-n)/2, (k-n+1)/2], [k+2], 4).

n	a(n)
0	1
1	0
2	-1
3	3
4	0
5	-5
6	15
7	0
8	-28
9	84
10	0
11	-165
12	495
13	0
14	-1001
15	3003
16	0
17	-6188
18	18564
19	0
20	-38760
21	116280
22	0
23	-245157
24	735471
25	0
26	-1562275
27	4686825
28	0
29	-10015005
30	30045015
31	0
32	-64512240
33	193536720
34	0
35	-417225900
36	1251677700
37	0
38	-2707475148
39	8122425444
40	0
41	-17620076360

[1, 0, -1, 3, 0, -5, 15, 0, -28, 84, 0, -165, 495, 0, -1001, 3003, 0, -6188, 18564, 0, -38760, 116280, 0, -245157, 735471, 0, -1562275, 4686825, 0, -10015005, 30045015, 0, -64512240, 193536720, 0, -417225900, 1251677700, 0, -2707475148, 8122425444, 0, -17620076360]

cp's OEIS Frontend

A344503 a(n) = Sum_{k=0..n} (-1)^(n-k)binomial(n, k)^2hypergeom([(k-n)/2, (k-n+1)/2], [k+2], 4).

Table of values

List of values

cp's OEIS Frontend

A344503 a(n) = Sum_{k=0..n} (-1)^(n-k)*binomial(n, k)^2*hypergeom([(k-n)/2, (k-n+1)/2], [k+2], 4).

Table of values

List of values

A344503 a(n) = Sum_{k=0..n} (-1)^(n-k)binomial(n, k)^2hypergeom([(k-n)/2, (k-n+1)/2], [k+2], 4).