A259844 - cp's OEIS frontend

A259844 Number A(n,k) of n X n upper triangular matrices (m_{i,j}) of nonnegative integers with k = Sum_{j=h..n} m_{h,j} - Sum_{i=1..h-1} m_{i,h} for all h in {1,...,n}; square array A(n,k), n>=0, k>=0, read by antidiagonals.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	1
10	1
11	1
12	3
13	7
14	1
15	1
16	1
17	4
18	22
19	40
20	1
21	1
22	1
23	5
24	50
25	351
26	357
27	1
28	1
29	1
30	6
31	95
32	1686
33	11275
34	4820
35	1
36	1
37	1
38	7
39	161
40	5796
41	138740
42	689146
43	96030
44	1
45	1
46	1
47	8
48	252
49	16072
50	1010385
51	25876312
52	76718466
53	2766572
54	1

[1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 7, 1, 1, 1, 4, 22, 40, 1, 1, 1, 5, 50, 351, 357, 1, 1, 1, 6, 95, 1686, 11275, 4820, 1, 1, 1, 7, 161, 5796, 138740, 689146, 96030, 1, 1, 1, 8, 252, 16072, 1010385, 25876312, 76718466, 2766572, 1]

cp's OEIS Frontend

A259844 Number A(n,k) of n X n upper triangular matrices (m_{i,j}) of nonnegative integers with k = Sum_{j=h..n} m_{h,j} - Sum_{i=1..h-1} m_{i,h} for all h in {1,...,n}; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Table of values

List of values