A331572 - cp's OEIS frontend

A331572 Array read by antidiagonals: A(n,k) is the number of nonnegative integer matrices with k columns and any number of distinct nonzero rows with column sums n and columns in nonincreasing lexicographic order.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	1
9	1
10	1
11	4
12	7
13	3
14	1
15	1
16	8
17	59
18	45
19	3
20	1
21	1
22	16
23	701
24	1987
25	271
26	5
27	1
28	1
29	32
30	10460
31	190379
32	73567
33	1244
34	11
35	1
36	1
37	64
38	190816
39	30474159
40	58055460
41	2451082
42	7289
43	13
44	1
45	1
46	128
47	4098997
48	7287577611
49	100171963518
50	16557581754
51	75511809
52	40841
53	19
54	1

[1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 7, 3, 1, 1, 8, 59, 45, 3, 1, 1, 16, 701, 1987, 271, 5, 1, 1, 32, 10460, 190379, 73567, 1244, 11, 1, 1, 64, 190816, 30474159, 58055460, 2451082, 7289, 13, 1, 1, 128, 4098997, 7287577611, 100171963518, 16557581754, 75511809, 40841, 19, 1]

cp's OEIS Frontend

A331572 Array read by antidiagonals: A(n,k) is the number of nonnegative integer matrices with k columns and any number of distinct nonzero rows with column sums n and columns in nonincreasing lexicographic order.

Table of values

List of values