A362377 - cp's OEIS frontend

A362377 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..floor(n/2)} (k/2)^j * (j+1)^(n-j-1) / (j! * (n-2*j)!).

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	1
10	1
11	1
12	3
13	7
14	1
15	1
16	1
17	4
18	13
19	34
20	1
21	1
22	1
23	5
24	19
25	85
26	216
27	1
28	1
29	1
30	6
31	25
32	154
33	701
34	1696
35	1
36	1
37	1
38	7
39	31
40	241
41	1456
42	7261
43	15898
44	1
45	1
46	1
47	8
48	37
49	346
50	2481
51	18136
52	89125
53	173468
54	1
55	1
56	1
57	9
58	43
59	469
60	3776
61	35761
62	260002
63	1277865
64	2161036
65	1

[1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 7, 1, 1, 1, 4, 13, 34, 1, 1, 1, 5, 19, 85, 216, 1, 1, 1, 6, 25, 154, 701, 1696, 1, 1, 1, 7, 31, 241, 1456, 7261, 15898, 1, 1, 1, 8, 37, 346, 2481, 18136, 89125, 173468, 1, 1, 1, 9, 43, 469, 3776, 35761, 260002, 1277865, 2161036, 1]

cp's OEIS Frontend

A362377 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..floor(n/2)} (k/2)^j * (j+1)^(n-j-1) / (j! * (n-2*j)!).

Table of values

List of values