A341200 - cp's OEIS frontend

A341200 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = Sum_{j=0..n} j^k * (n-j)! * binomial(n,j)^2.

n	a(n)
0	1
1	0
2	2
3	0
4	1
5	7
6	0
7	1
8	6
9	34
10	0
11	1
12	8
13	39
14	209
15	0
16	1
17	12
18	63
19	292
20	1546
21	0
22	1
23	20
24	117
25	544
26	2505
27	13327
28	0
29	1
30	36
31	243
32	1168
33	5225
34	24306
35	130922
36	0
37	1
38	68
39	549
40	2800
41	12525
42	55656
43	263431
44	1441729
45	0
46	1
47	132
48	1323
49	7312
50	33425
51	145836
52	653023
53	3154824
54	17572114

[1, 0, 2, 0, 1, 7, 0, 1, 6, 34, 0, 1, 8, 39, 209, 0, 1, 12, 63, 292, 1546, 0, 1, 20, 117, 544, 2505, 13327, 0, 1, 36, 243, 1168, 5225, 24306, 130922, 0, 1, 68, 549, 2800, 12525, 55656, 263431, 1441729, 0, 1, 132, 1323, 7312, 33425, 145836, 653023, 3154824, 17572114]

cp's OEIS Frontend

A341200 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = Sum_{j=0..n} j^k * (n-j)! * binomial(n,j)^2.

Table of values

List of values