A320955 - cp's OEIS frontend

A320955 Square array read by ascending antidiagonals: A(n, k) (n >= 0, k >= 0) = Sum_{j=0..n-1} (!j/j!)*((n - j)^k/(n - j)!) if k > 0 and 1 if k = 0. Here !n denotes the subfactorial of n.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	1
8	1
9	0
10	1
11	1
12	2
13	1
14	0
15	1
16	1
17	2
18	4
19	1
20	0
21	1
22	1
23	2
24	5
25	8
26	1
27	0
28	1
29	1
30	2
31	5
32	14
33	16
34	1
35	0
36	1
37	1
38	2
39	5
40	15
41	41
42	32
43	1
44	0
45	1
46	1
47	2
48	5
49	15
50	51
51	122
52	64
53	1
54	0
55	1
56	1
57	2
58	5
59	15
60	52
61	187
62	365
63	128
64	1
65	0
66	1
67	1
68	2
69	5
70	15
71	52
72	202
73	715
74	1094
75	256
76	1
77	0

[1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 4, 1, 0, 1, 1, 2, 5, 8, 1, 0, 1, 1, 2, 5, 14, 16, 1, 0, 1, 1, 2, 5, 15, 41, 32, 1, 0, 1, 1, 2, 5, 15, 51, 122, 64, 1, 0, 1, 1, 2, 5, 15, 52, 187, 365, 128, 1, 0, 1, 1, 2, 5, 15, 52, 202, 715, 1094, 256, 1, 0]

cp's OEIS Frontend

A320955 Square array read by ascending antidiagonals: A(n, k) (n >= 0, k >= 0) = Sum_{j=0..n-1} (!j/j!)*((n - j)^k/(n - j)!) if k > 0 and 1 if k = 0. Here !n denotes the subfactorial of n.

Table of values

List of values