A350557 - cp's OEIS frontend

A350557 Triangle T(n,k) read by rows with T(n,0) = (2n)! / (2^n n!) for n >= 0 and T(n,k) = (Sum_{i=k..n} binomial(i-1,k-1) * 2^i * i! / (2i)!) (2n)! / (2^n n!) for 0 < k <= n.

n	a(n)
0	1
1	1
2	1
3	3
4	4
5	1
6	15
7	21
8	7
9	1
10	105
11	148
12	52
13	10
14	1
15	945
16	1333
17	472
18	96
19	13
20	1
21	10395
22	14664
23	5197
24	1066
25	153
26	16
27	1
28	135135
29	190633
30	67567
31	13873
32	2009
33	223
34	19
35	1
36	2027025
37	2859496
38	1013512
39	208116
40	30170
41	3380
42	306
43	22
44	1

[1, 1, 1, 3, 4, 1, 15, 21, 7, 1, 105, 148, 52, 10, 1, 945, 1333, 472, 96, 13, 1, 10395, 14664, 5197, 1066, 153, 16, 1, 135135, 190633, 67567, 13873, 2009, 223, 19, 1, 2027025, 2859496, 1013512, 208116, 30170, 3380, 306, 22, 1]

cp's OEIS Frontend

A350557 Triangle T(n,k) read by rows with T(n,0) = (2n)! / (2^n n!) for n >= 0 and T(n,k) = (Sum_{i=k..n} binomial(i-1,k-1) * 2^i * i! / (2i)!) (2n)! / (2^n n!) for 0 < k <= n.

Table of values

List of values

cp's OEIS Frontend

A350557 Triangle T(n,k) read by rows with T(n,0) = (2*n)! / (2^n * n!) for n >= 0 and T(n,k) = (Sum_{i=k..n} binomial(i-1,k-1) * 2^i * i! / (2*i)!) * (2*n)! / (2^n * n!) for 0 < k <= n.

Table of values

List of values

A350557 Triangle T(n,k) read by rows with T(n,0) = (2n)! / (2^n n!) for n >= 0 and T(n,k) = (Sum_{i=k..n} binomial(i-1,k-1) * 2^i * i! / (2i)!) (2n)! / (2^n n!) for 0 < k <= n.