A183729 - cp's OEIS frontend

A183729 T(n,k) = 1/12 the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease, and at least two adjacent blocks having the same increasing direction.

n	a(n)
1	0
2	1
3	1
4	12
5	2
6	12
7	87
8	29
9	29
10	87
11	537
12	388
13	124
14	388
15	537
16	3070
17	4170
18	1790
19	1790
20	4170
21	3070
22	16731
23	41423
24	30939
25	14886
26	30939
27	41423
28	16731
29	88331
30	388998
31	525895
32	272215
33	272215
34	525895
35	388998
36	88331
37	455804
38	3528126
39	8439116
40	7319684

[0, 1, 1, 12, 2, 12, 87, 29, 29, 87, 537, 388, 124, 388, 537, 3070, 4170, 1790, 1790, 4170, 3070, 16731, 41423, 30939, 14886, 30939, 41423, 16731, 88331, 388998, 525895, 272215, 272215, 525895, 388998, 88331, 455804, 3528126, 8439116, 7319684]

cp's OEIS Frontend

A183729 T(n,k) = 1/12 the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease, and at least two adjacent blocks having the same increasing direction.

Table of values

List of values