A245192 - cp's OEIS frontend

A245192 The number of Dyck paths p(m) for m<=n, as defined by the rows of A237593, that have common subpaths of positive length with the Dyck path p(n) for the symmetric representation of sigma(n).

n	a(n)
1	0
2	1
3	1
4	1
5	1
6	2
7	1
8	2
9	1
10	2
11	1
12	2
13	1
14	2
15	3
16	2
17	1
18	2
19	1
20	2
21	1
22	2
23	2
24	3
25	1
26	2
27	3
28	3
29	1
30	2
31	1
32	2
33	1
34	2
35	3
36	3
37	1
38	2
39	3
40	4
41	1
42	2
43	1
44	2
45	3
46	2
47	2
48	3
49	1
50	2
51	3
52	2
53	3
54	4
55	1
56	2
57	1
58	2
59	3
60	4
61	1
62	2
63	3
64	4
65	1
66	2
67	1
68	2
69	3
70	4
71	2
72	3
73	1
74	2
75	3
76	4
77	5
78	2
79	1
80	2
81	1
82	2
83	3
84	4
85	1
86	2
87	3
88	4
89	1
90	2
91	1

[0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 3, 2, 1, 2, 1, 2, 1, 2, 2, 3, 1, 2, 3, 3, 1, 2, 1, 2, 1, 2, 3, 3, 1, 2, 3, 4, 1, 2, 1, 2, 3, 2, 2, 3, 1, 2, 3, 2, 3, 4, 1, 2, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 1, 2, 3, 4, 2, 3, 1, 2, 3, 4, 5, 2, 1, 2, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 1]

cp's OEIS Frontend

A245192 The number of Dyck paths p(m) for m<=n, as defined by the rows of A237593, that have common subpaths of positive length with the Dyck path p(n) for the symmetric representation of sigma(n).

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	1
5	1
6	2
7	1
8	2
9	1
10	2
11	1
12	2
13	1
14	2
15	3
16	2
17	1
18	2
19	1
20	2
21	1
22	2
23	2
24	3
25	1
26	2
27	3
28	3
29	1
30	2
31	1
32	2
33	1
34	2
35	3
36	3
37	1
38	2
39	3
40	4
41	1
42	2
43	1
44	2
45	3
46	2
47	2
48	3
49	1
50	2
51	3
52	2
53	3
54	4
55	1
56	2
57	1
58	2
59	3
60	4
61	1
62	2
63	3
64	4
65	1
66	2
67	1
68	2
69	3
70	4
71	2
72	3
73	1
74	2
75	3
76	4
77	5
78	2
79	1
80	2
81	1
82	2
83	3
84	4
85	1
86	2
87	3
88	4
89	1
90	2
91	1

n	a(n)
1	0
2	1
3	1
4	1
5	1
6	2
7	1
8	2
9	1
10	2
11	1
12	2
13	1
14	2
15	3
16	2
17	1
18	2
19	1
20	2
21	1
22	2
23	2
24	3
25	1
26	2
27	3
28	3
29	1
30	2
31	1
32	2
33	1
34	2
35	3
36	3
37	1
38	2
39	3
40	4
41	1
42	2
43	1
44	2
45	3
46	2
47	2
48	3
49	1
50	2
51	3
52	2
53	3
54	4
55	1
56	2
57	1
58	2
59	3
60	4
61	1
62	2
63	3
64	4
65	1
66	2
67	1
68	2
69	3
70	4
71	2
72	3
73	1
74	2
75	3
76	4
77	5
78	2
79	1
80	2
81	1
82	2
83	3
84	4
85	1
86	2
87	3
88	4
89	1
90	2
91	1

n	a(n)
1	0
2	1
3	1
4	1
5	1
6	2
7	1
8	2
9	1
10	2
11	1
12	2
13	1
14	2
15	3
16	2
17	1
18	2
19	1
20	2
21	1
22	2
23	2
24	3
25	1
26	2
27	3
28	3
29	1
30	2
31	1
32	2
33	1
34	2
35	3
36	3
37	1
38	2
39	3
40	4
41	1
42	2
43	1
44	2
45	3
46	2
47	2
48	3
49	1
50	2
51	3
52	2
53	3
54	4
55	1
56	2
57	1
58	2
59	3
60	4
61	1
62	2
63	3
64	4
65	1
66	2
67	1
68	2
69	3
70	4
71	2
72	3
73	1
74	2
75	3
76	4
77	5
78	2
79	1
80	2
81	1
82	2
83	3
84	4
85	1
86	2
87	3
88	4
89	1
90	2
91	1