A361950 - cp's OEIS frontend

A361950 Array read by antidiagonals: T(n,k) = n! * Sum_{s} 2^(Sum_{i=1..k-1} s(i)*s(i+1))/(Product_{i=1..k} s(i)!) where the sum is over all nonnegative compositions s of n into k parts.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	0
10	1
11	3
12	6
13	1
14	0
15	1
16	4
17	13
18	26
19	1
20	0
21	1
22	5
23	22
24	81
25	162
26	1
27	0
28	1
29	6
30	33
31	166
32	721
33	1442
34	1
35	0
36	1
37	7
38	46
39	287
40	1726
41	9153
42	18306
43	1
44	0
45	1
46	8
47	61
48	450
49	3309
50	24814
51	165313
52	330626
53	1
54	0
55	1
56	9
57	78
58	661
59	5650
60	50975
61	494902
62	4244481
63	8488962
64	1
65	0

[1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 3, 6, 1, 0, 1, 4, 13, 26, 1, 0, 1, 5, 22, 81, 162, 1, 0, 1, 6, 33, 166, 721, 1442, 1, 0, 1, 7, 46, 287, 1726, 9153, 18306, 1, 0, 1, 8, 61, 450, 3309, 24814, 165313, 330626, 1, 0, 1, 9, 78, 661, 5650, 50975, 494902, 4244481, 8488962, 1, 0]

cp's OEIS Frontend

A361950 Array read by antidiagonals: T(n,k) = n! * Sum_{s} 2^(Sum_{i=1..k-1} s(i)*s(i+1))/(Product_{i=1..k} s(i)!) where the sum is over all nonnegative compositions s of n into k parts.

Table of values

List of values