A292978 - cp's OEIS frontend

A292978 Square array T(n,k), n>=0, k>=0, read by antidiagonals, where T(0,k) = 1 and T(n,k) = k! * Sum_{i=0..n-1} binomial(n-1,i) * binomial(i+1,k) * T(n-1-i,k) for n > 0.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	0
8	3
9	5
10	1
11	0
12	2
13	10
14	15
15	1
16	0
17	0
18	6
19	41
20	52
21	1
22	0
23	0
24	6
25	24
26	196
27	203
28	1
29	0
30	0
31	0
32	24
33	140
34	1057
35	877
36	1
37	0
38	0
39	0
40	24
41	60
42	870
43	6322
44	4140
45	1
46	0
47	0
48	0
49	0
50	120
51	480
52	5922
53	41393
54	21147
55	1
56	0
57	0
58	0
59	0
60	120
61	360
62	5250
63	45416
64	293608
65	115975

[1, 1, 1, 1, 1, 2, 1, 0, 3, 5, 1, 0, 2, 10, 15, 1, 0, 0, 6, 41, 52, 1, 0, 0, 6, 24, 196, 203, 1, 0, 0, 0, 24, 140, 1057, 877, 1, 0, 0, 0, 24, 60, 870, 6322, 4140, 1, 0, 0, 0, 0, 120, 480, 5922, 41393, 21147, 1, 0, 0, 0, 0, 120, 360, 5250, 45416, 293608, 115975]

cp's OEIS Frontend

A292978 Square array T(n,k), n>=0, k>=0, read by antidiagonals, where T(0,k) = 1 and T(n,k) = k! * Sum_{i=0..n-1} binomial(n-1,i) * binomial(i+1,k) * T(n-1-i,k) for n > 0.

Table of values

List of values