A341014 - cp's OEIS frontend

A341014 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = Sum_{j=0..n} k^j * j! * binomial(n,j)^2.

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	7
9	1
10	1
11	4
12	17
13	34
14	1
15	1
16	5
17	31
18	139
19	209
20	1
21	1
22	6
23	49
24	352
25	1473
26	1546
27	1
28	1
29	7
30	71
31	709
32	5233
33	19091
34	13327
35	1
36	1
37	8
38	97
39	1246
40	13505
41	95836
42	291793
43	130922
44	1
45	1
46	9
47	127
48	1999
49	28881
50	318181
51	2080999
52	5129307
53	1441729
54	1

[1, 1, 1, 1, 2, 1, 1, 3, 7, 1, 1, 4, 17, 34, 1, 1, 5, 31, 139, 209, 1, 1, 6, 49, 352, 1473, 1546, 1, 1, 7, 71, 709, 5233, 19091, 13327, 1, 1, 8, 97, 1246, 13505, 95836, 291793, 130922, 1, 1, 9, 127, 1999, 28881, 318181, 2080999, 5129307, 1441729, 1]

cp's OEIS Frontend

A341014 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = Sum_{j=0..n} k^j * j! * binomial(n,j)^2.

Table of values

List of values