A360441 - cp's OEIS frontend

A360441 Triangle read by rows: T(n,k) is the number of pairs (c,m), where c is a covering of the 1 X (2n) grid with 1 X 2 rectangles and equal numbers of red and blue 1 X 1 squares and m is a matching between red squares and blue squares, such that exactly k matched pairs are adjacent.

n	a(n)
0	1
1	1
2	2
3	7
4	8
5	4
6	71
7	78
8	36
9	8
10	1001
11	1072
12	504
13	128
14	16
15	18089
16	19090
17	9080
18	2480
19	400
20	32
21	398959
22	417048
23	199980
24	56960
25	10320
26	1152
27	64
28	10391023
29	10789982
30	5204556
31	1523480
32	295120
33	38304
34	3136
35	128
36	312129649
37	322520672
38	156264304
39	46629632
40	9436000
41	1336832
42	130816
43	8192
44	256

[1, 1, 2, 7, 8, 4, 71, 78, 36, 8, 1001, 1072, 504, 128, 16, 18089, 19090, 9080, 2480, 400, 32, 398959, 417048, 199980, 56960, 10320, 1152, 64, 10391023, 10789982, 5204556, 1523480, 295120, 38304, 3136, 128, 312129649, 322520672, 156264304, 46629632, 9436000, 1336832, 130816, 8192, 256]

cp's OEIS Frontend

A360441 Triangle read by rows: T(n,k) is the number of pairs (c,m), where c is a covering of the 1 X (2n) grid with 1 X 2 rectangles and equal numbers of red and blue 1 X 1 squares and m is a matching between red squares and blue squares, such that exactly k matched pairs are adjacent.

Table of values

List of values