A361616 - cp's OEIS frontend

A361616 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..n} binomial(n+(k-1)*(j+1),n-j)/j!.

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	15
13	34
14	1
15	1
16	5
17	25
18	103
19	209
20	1
21	1
22	6
23	37
24	214
25	885
26	1546
27	1
28	1
29	7
30	51
31	373
32	2293
33	9051
34	13327
35	1
36	1
37	8
38	67
39	586
40	4721
41	29176
42	106843
43	130922
44	1
45	1
46	9
47	85
48	859
49	8481
50	70981
51	427189
52	1425495
53	1441729
54	1

[1, 1, 1, 1, 2, 1, 1, 3, 7, 1, 1, 4, 15, 34, 1, 1, 5, 25, 103, 209, 1, 1, 6, 37, 214, 885, 1546, 1, 1, 7, 51, 373, 2293, 9051, 13327, 1, 1, 8, 67, 586, 4721, 29176, 106843, 130922, 1, 1, 9, 85, 859, 8481, 70981, 427189, 1425495, 1441729, 1]

cp's OEIS Frontend

A361616 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..n} binomial(n+(k-1)*(j+1),n-j)/j!.

Table of values

List of values