A331315 - cp's OEIS frontend

A331315 Array read by antidiagonals: A(n,k) is the number of nonnegative integer matrices with k columns and any number of 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	2
9	1
10	1
11	4
12	14
13	4
14	1
15	1
16	8
17	150
18	128
19	8
20	1
21	1
22	16
23	2210
24	10848
25	1288
26	16
27	1
28	1
29	32
30	41642
31	1796408
32	933448
33	13472
34	32
35	1
36	1
37	64
38	956878
39	491544512
40	1852183128
41	85862144
42	143840
43	64
44	1
45	1
46	128
47	25955630
48	200901557728
49	7805700498776
50	2098614254048
51	8206774496
52	1556480
53	128
54	1

[1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 14, 4, 1, 1, 8, 150, 128, 8, 1, 1, 16, 2210, 10848, 1288, 16, 1, 1, 32, 41642, 1796408, 933448, 13472, 32, 1, 1, 64, 956878, 491544512, 1852183128, 85862144, 143840, 64, 1, 1, 128, 25955630, 200901557728, 7805700498776, 2098614254048, 8206774496, 1556480, 128, 1]

cp's OEIS Frontend

A331315 Array read by antidiagonals: A(n,k) is the number of nonnegative integer matrices with k columns and any number of nonzero rows with column sums n and columns in nonincreasing lexicographic order.

Table of values

List of values