A088855 - cp's OEIS frontend

A088855 Triangle read by rows: number of symmetric Dyck paths of semilength n with k peaks.

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	2
10	1
11	1
12	2
13	4
14	2
15	1
16	1
17	3
18	6
19	6
20	3
21	1
22	1
23	3
24	9
25	9
26	9
27	3
28	1
29	1
30	4
31	12
32	18
33	18
34	12
35	4
36	1
37	1
38	4
39	16
40	24
41	36
42	24
43	16
44	4
45	1
46	1
47	5
48	20
49	40
50	60
51	60
52	40
53	20
54	5
55	1
56	1
57	5
58	25
59	50
60	100
61	100
62	100
63	50
64	25
65	5
66	1
67	1
68	6
69	30
70	75
71	150
72	200
73	200
74	150
75	75
76	30
77	6
78	1
79	1
80	6
81	36
82	90
83	225
84	300
85	400
86	300
87	225
88	90
89	36
90	6
91	1

[1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 2, 1, 1, 3, 6, 6, 3, 1, 1, 3, 9, 9, 9, 3, 1, 1, 4, 12, 18, 18, 12, 4, 1, 1, 4, 16, 24, 36, 24, 16, 4, 1, 1, 5, 20, 40, 60, 60, 40, 20, 5, 1, 1, 5, 25, 50, 100, 100, 100, 50, 25, 5, 1, 1, 6, 30, 75, 150, 200, 200, 150, 75, 30, 6, 1, 1, 6, 36, 90, 225, 300, 400, 300, 225, 90, 36, 6, 1]

cp's OEIS Frontend

A088855 Triangle read by rows: number of symmetric Dyck paths of semilength n with k peaks.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	2
10	1
11	1
12	2
13	4
14	2
15	1
16	1
17	3
18	6
19	6
20	3
21	1
22	1
23	3
24	9
25	9
26	9
27	3
28	1
29	1
30	4
31	12
32	18
33	18
34	12
35	4
36	1
37	1
38	4
39	16
40	24
41	36
42	24
43	16
44	4
45	1
46	1
47	5
48	20
49	40
50	60
51	60
52	40
53	20
54	5
55	1
56	1
57	5
58	25
59	50
60	100
61	100
62	100
63	50
64	25
65	5
66	1
67	1
68	6
69	30
70	75
71	150
72	200
73	200
74	150
75	75
76	30
77	6
78	1
79	1
80	6
81	36
82	90
83	225
84	300
85	400
86	300
87	225
88	90
89	36
90	6
91	1

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	2
10	1
11	1
12	2
13	4
14	2
15	1
16	1
17	3
18	6
19	6
20	3
21	1
22	1
23	3
24	9
25	9
26	9
27	3
28	1
29	1
30	4
31	12
32	18
33	18
34	12
35	4
36	1
37	1
38	4
39	16
40	24
41	36
42	24
43	16
44	4
45	1
46	1
47	5
48	20
49	40
50	60
51	60
52	40
53	20
54	5
55	1
56	1
57	5
58	25
59	50
60	100
61	100
62	100
63	50
64	25
65	5
66	1
67	1
68	6
69	30
70	75
71	150
72	200
73	200
74	150
75	75
76	30
77	6
78	1
79	1
80	6
81	36
82	90
83	225
84	300
85	400
86	300
87	225
88	90
89	36
90	6
91	1

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	2
10	1
11	1
12	2
13	4
14	2
15	1
16	1
17	3
18	6
19	6
20	3
21	1
22	1
23	3
24	9
25	9
26	9
27	3
28	1
29	1
30	4
31	12
32	18
33	18
34	12
35	4
36	1
37	1
38	4
39	16
40	24
41	36
42	24
43	16
44	4
45	1
46	1
47	5
48	20
49	40
50	60
51	60
52	40
53	20
54	5
55	1
56	1
57	5
58	25
59	50
60	100
61	100
62	100
63	50
64	25
65	5
66	1
67	1
68	6
69	30
70	75
71	150
72	200
73	200
74	150
75	75
76	30
77	6
78	1
79	1
80	6
81	36
82	90
83	225
84	300
85	400
86	300
87	225
88	90
89	36
90	6
91	1