A362378 - cp's OEIS frontend

A362378 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..floor(n/3)} (k/6)^j * (j+1)^(n-2j-1) / (j! (n-3*j)!).

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	1
12	1
13	2
14	1
15	1
16	1
17	1
18	3
19	9
20	1
21	1
22	1
23	1
24	4
25	17
26	41
27	1
28	1
29	1
30	1
31	5
32	25
33	81
34	191
35	1
36	1
37	1
38	1
39	6
40	33
41	121
42	441
43	1191
44	1
45	1
46	1
47	1
48	7
49	41
50	161
51	751
52	3641
53	9353
54	1
55	1
56	1
57	1
58	8
59	49
60	201
61	1121
62	7351
63	33825
64	77897
65	1

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 9, 1, 1, 1, 1, 4, 17, 41, 1, 1, 1, 1, 5, 25, 81, 191, 1, 1, 1, 1, 6, 33, 121, 441, 1191, 1, 1, 1, 1, 7, 41, 161, 751, 3641, 9353, 1, 1, 1, 1, 8, 49, 201, 1121, 7351, 33825, 77897, 1]

cp's OEIS Frontend

A362378 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..floor(n/3)} (k/6)^j * (j+1)^(n-2j-1) / (j! (n-3*j)!).

Table of values

List of values

cp's OEIS Frontend

A362378 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..floor(n/3)} (k/6)^j * (j+1)^(n-2*j-1) / (j! * (n-3*j)!).

Table of values

List of values

A362378 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..floor(n/3)} (k/6)^j * (j+1)^(n-2j-1) / (j! (n-3*j)!).