A331278 - cp's OEIS frontend

A331278 Array read by antidiagonals: A(n,k) is the number of nonnegative integer matrices with k distinct columns and any number of nonzero rows with column sums n and columns in decreasing lexicographic order.

n	a(n)
0	1
1	1
2	1
3	0
4	1
5	1
6	0
7	1
8	2
9	1
10	0
11	1
12	12
13	4
14	1
15	0
16	1
17	124
18	124
19	8
20	1
21	0
22	1
23	1800
24	10596
25	1280
26	16
27	1
28	0
29	1
30	33648
31	1764244
32	930880
33	13456
34	32
35	1
36	0
37	1
38	769336
39	484423460
40	1849386640
41	85835216
42	143808
43	64
44	1
45	0
46	1
47	20796960
48	198461691404
49	7798297361808
50	2098356708016
51	8206486848
52	1556416
53	128
54	1

[1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 12, 4, 1, 0, 1, 124, 124, 8, 1, 0, 1, 1800, 10596, 1280, 16, 1, 0, 1, 33648, 1764244, 930880, 13456, 32, 1, 0, 1, 769336, 484423460, 1849386640, 85835216, 143808, 64, 1, 0, 1, 20796960, 198461691404, 7798297361808, 2098356708016, 8206486848, 1556416, 128, 1]

cp's OEIS Frontend

A331278 Array read by antidiagonals: A(n,k) is the number of nonnegative integer matrices with k distinct columns and any number of nonzero rows with column sums n and columns in decreasing lexicographic order.

Table of values

List of values