A261602 - cp's OEIS frontend

A261602 Triangular array of A(n,k) for n>=1 and 0<=k<=n^2 equal the number of permutations of the set {1,2,...,n}^2 such that first coordinates of first k elements are nondecreasing and second coordinates of the remaining n^2-k elements are nondecreasing.

n	a(n)
1	1
2	1
3	4
4	8
5	10
6	8
7	4
8	216
9	648
10	1188
11	1668
12	1944
13	1944
14	1668
15	1188
16	648
17	216
18	331776
19	1327104
20	3151872
21	5695488
22	8608896
23	11446272
24	13791744
25	15326208
26	15858432
27	15326208
28	13791744
29	11446272
30	8608896
31	5695488
32	3151872
33	1327104
34	331776
35	24883200000
36	124416000000
37	360806400000
38	787138560000
39	1426595328000
40	2262299258880
41	3240594432000
42	4283587584000
43	5304730521600
44	6222411878400
45	6968709089280
46	7493189990400
47	7763310604800

[1, 1, 4, 8, 10, 8, 4, 216, 648, 1188, 1668, 1944, 1944, 1668, 1188, 648, 216, 331776, 1327104, 3151872, 5695488, 8608896, 11446272, 13791744, 15326208, 15858432, 15326208, 13791744, 11446272, 8608896, 5695488, 3151872, 1327104, 331776, 24883200000, 124416000000, 360806400000, 787138560000, 1426595328000, 2262299258880, 3240594432000, 4283587584000, 5304730521600, 6222411878400, 6968709089280, 7493189990400, 7763310604800]

cp's OEIS Frontend

A261602 Triangular array of A(n,k) for n>=1 and 0<=k<=n^2 equal the number of permutations of the set {1,2,...,n}^2 such that first coordinates of first k elements are nondecreasing and second coordinates of the remaining n^2-k elements are nondecreasing.

Table of values

List of values