A201159 - cp's OEIS frontend

A201159 Irregular triangle read by rows: number of {0,1,2}-shifted Schroeder paths of length n and area k.

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

[1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 4, 5, 5, 5, 3, 1, 1, 1, 2, 2, 4, 5, 8, 10, 12, 13, 15, 17, 16, 13, 9, 4, 1, 1, 1, 2, 2, 4, 5, 8, 10, 15, 18, 23, 27, 34, 40, 47, 52, 56, 57, 57, 56, 50, 39, 26, 14, 5, 1, 1, 1, 2, 2, 4, 5, 8, 10, 15, 18, 26, 32, 42, 50, 63]

cp's OEIS Frontend

A201159 Irregular triangle read by rows: number of {0,1,2}-shifted Schroeder paths of length n and area k.

Table of values

List of values

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

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

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