A331161 - cp's OEIS frontend

A331161 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 rows in nonincreasing 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	7
13	3
14	1
15	0
16	1
17	43
18	28
19	5
20	1
21	0
22	1
23	403
24	599
25	104
26	7
27	1
28	0
29	1
30	5245
31	23243
32	6404
33	332
34	11
35	1
36	0
37	1
38	89132
39	1440532
40	872681
41	57613
42	1032
43	15
44	1
45	0
46	1
47	1898630
48	131530132
49	222686668
50	26560747
51	473674
52	2983
53	22
54	1

[1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 7, 3, 1, 0, 1, 43, 28, 5, 1, 0, 1, 403, 599, 104, 7, 1, 0, 1, 5245, 23243, 6404, 332, 11, 1, 0, 1, 89132, 1440532, 872681, 57613, 1032, 15, 1, 0, 1, 1898630, 131530132, 222686668, 26560747, 473674, 2983, 22, 1]

cp's OEIS Frontend

A331161 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 rows in nonincreasing lexicographic order.

Table of values

List of values