A185287 - cp's OEIS frontend

A185287 R(m,n) is the number of ways to split two strings x and y of length m and n, respectively, into the same number of nonempty parts such that at least one of the corresponding parts has length 1 and such that the parts of the y string have at most size 2.

n	a(n)
1	1
2	1
3	0
4	1
5	1
6	0
7	1
8	2
9	2
10	0
11	1
12	3
13	3
14	0
15	0
16	1
17	4
18	5
19	3
20	0
21	0
22	1
23	5
24	8
25	7
26	3
27	0
28	0
29	1
30	6
31	12
32	13
33	7
34	0
35	0
36	0
37	1
38	7
39	17
40	22
41	16
42	6
43	0
44	0
45	0
46	1
47	8
48	23
49	35
50	32
51	17
52	4
53	0
54	0
55	0
56	1
57	9
58	30
59	53
60	58
61	39
62	14
63	0
64	0
65	0
66	0
67	1
68	10
69	38
70	77
71	98
72	80
73	40
74	10
75	0
76	0

[1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 3, 3, 0, 0, 1, 4, 5, 3, 0, 0, 1, 5, 8, 7, 3, 0, 0, 1, 6, 12, 13, 7, 0, 0, 0, 1, 7, 17, 22, 16, 6, 0, 0, 0, 1, 8, 23, 35, 32, 17, 4, 0, 0, 0, 1, 9, 30, 53, 58, 39, 14, 0, 0, 0, 0, 1, 10, 38, 77, 98, 80, 40, 10, 0, 0]

cp's OEIS Frontend

A185287 R(m,n) is the number of ways to split two strings x and y of length m and n, respectively, into the same number of nonempty parts such that at least one of the corresponding parts has length 1 and such that the parts of the y string have at most size 2.

Table of values

List of values

n	a(n)
1	1
2	1
3	0
4	1
5	1
6	0
7	1
8	2
9	2
10	0
11	1
12	3
13	3
14	0
15	0
16	1
17	4
18	5
19	3
20	0
21	0
22	1
23	5
24	8
25	7
26	3
27	0
28	0
29	1
30	6
31	12
32	13
33	7
34	0
35	0
36	0
37	1
38	7
39	17
40	22
41	16
42	6
43	0
44	0
45	0
46	1
47	8
48	23
49	35
50	32
51	17
52	4
53	0
54	0
55	0
56	1
57	9
58	30
59	53
60	58
61	39
62	14
63	0
64	0
65	0
66	0
67	1
68	10
69	38
70	77
71	98
72	80
73	40
74	10
75	0
76	0

n	a(n)
1	1
2	1
3	0
4	1
5	1
6	0
7	1
8	2
9	2
10	0
11	1
12	3
13	3
14	0
15	0
16	1
17	4
18	5
19	3
20	0
21	0
22	1
23	5
24	8
25	7
26	3
27	0
28	0
29	1
30	6
31	12
32	13
33	7
34	0
35	0
36	0
37	1
38	7
39	17
40	22
41	16
42	6
43	0
44	0
45	0
46	1
47	8
48	23
49	35
50	32
51	17
52	4
53	0
54	0
55	0
56	1
57	9
58	30
59	53
60	58
61	39
62	14
63	0
64	0
65	0
66	0
67	1
68	10
69	38
70	77
71	98
72	80
73	40
74	10
75	0
76	0

n	a(n)
1	1
2	1
3	0
4	1
5	1
6	0
7	1
8	2
9	2
10	0
11	1
12	3
13	3
14	0
15	0
16	1
17	4
18	5
19	3
20	0
21	0
22	1
23	5
24	8
25	7
26	3
27	0
28	0
29	1
30	6
31	12
32	13
33	7
34	0
35	0
36	0
37	1
38	7
39	17
40	22
41	16
42	6
43	0
44	0
45	0
46	1
47	8
48	23
49	35
50	32
51	17
52	4
53	0
54	0
55	0
56	1
57	9
58	30
59	53
60	58
61	39
62	14
63	0
64	0
65	0
66	0
67	1
68	10
69	38
70	77
71	98
72	80
73	40
74	10
75	0
76	0