A269939 - cp's OEIS frontend

A269939 Triangle read by rows, Ward numbers T(n, k) = Sum_{m=0..k} (-1)^(m + k) * binomial(n + k, n + m) * Stirling2(n + m, m), for n >= 0, 0 <= k <= n.

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	3
6	0
7	1
8	10
9	15
10	0
11	1
12	25
13	105
14	105
15	0
16	1
17	56
18	490
19	1260
20	945
21	0
22	1
23	119
24	1918
25	9450
26	17325
27	10395
28	0
29	1
30	246
31	6825
32	56980
33	190575
34	270270
35	135135
36	0
37	1
38	501
39	22935
40	302995
41	1636635
42	4099095
43	4729725
44	2027025

[1, 0, 1, 0, 1, 3, 0, 1, 10, 15, 0, 1, 25, 105, 105, 0, 1, 56, 490, 1260, 945, 0, 1, 119, 1918, 9450, 17325, 10395, 0, 1, 246, 6825, 56980, 190575, 270270, 135135, 0, 1, 501, 22935, 302995, 1636635, 4099095, 4729725, 2027025]

cp's OEIS Frontend

A269939 Triangle read by rows, Ward numbers T(n, k) = Sum_{m=0..k} (-1)^(m + k) * binomial(n + k, n + m) * Stirling2(n + m, m), for n >= 0, 0 <= k <= n.

Table of values

List of values