A368506 - cp's OEIS frontend

A368506 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = Sum_{j=0..n} k^(n-j) * binomial(j+k-1,j).

n	a(n)
0	1
1	1
2	0
3	1
4	2
5	0
6	1
7	4
8	3
9	0
10	1
11	6
12	11
13	4
14	0
15	1
16	8
17	24
18	26
19	5
20	0
21	1
22	10
23	42
24	82
25	57
26	6
27	0
28	1
29	12
30	65
31	188
32	261
33	120
34	7
35	0
36	1
37	14
38	93
39	360
40	787
41	804
42	247
43	8
44	0
45	1
46	16
47	126
48	614
49	1870
50	3204
51	2440
52	502
53	9
54	0
55	1
56	18
57	164
58	966
59	3810
60	9476
61	12900
62	7356
63	1013
64	10
65	0

[1, 1, 0, 1, 2, 0, 1, 4, 3, 0, 1, 6, 11, 4, 0, 1, 8, 24, 26, 5, 0, 1, 10, 42, 82, 57, 6, 0, 1, 12, 65, 188, 261, 120, 7, 0, 1, 14, 93, 360, 787, 804, 247, 8, 0, 1, 16, 126, 614, 1870, 3204, 2440, 502, 9, 0, 1, 18, 164, 966, 3810, 9476, 12900, 7356, 1013, 10, 0]

cp's OEIS Frontend

A368506 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = Sum_{j=0..n} k^(n-j) * binomial(j+k-1,j).

Table of values

List of values