A378809 - cp's OEIS frontend

A378809 Triangle read by rows: T(n,k) is the number of peak and valleyless Motzkin meanders of length n with k horizontal steps.

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	4
8	3
9	1
10	1
11	5
12	9
13	4
14	1
15	1
16	7
17	15
18	16
19	5
20	1
21	1
22	8
23	27
24	34
25	25
26	6
27	1
28	1
29	10
30	37
31	76
32	65
33	36
34	7
35	1
36	1
37	11
38	55
39	124
40	175
41	111
42	49
43	8
44	1
45	1
46	13
47	69
48	216
49	335
50	351
51	175
52	64
53	9
54	1
55	1
56	14
57	93
58	309
59	675
60	776
61	637
62	260
63	81
64	10
65	1

[1, 1, 1, 1, 2, 1, 1, 4, 3, 1, 1, 5, 9, 4, 1, 1, 7, 15, 16, 5, 1, 1, 8, 27, 34, 25, 6, 1, 1, 10, 37, 76, 65, 36, 7, 1, 1, 11, 55, 124, 175, 111, 49, 8, 1, 1, 13, 69, 216, 335, 351, 175, 64, 9, 1, 1, 14, 93, 309, 675, 776, 637, 260, 81, 10, 1]

cp's OEIS Frontend

A378809 Triangle read by rows: T(n,k) is the number of peak and valleyless Motzkin meanders of length n with k horizontal steps.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	4
8	3
9	1
10	1
11	5
12	9
13	4
14	1
15	1
16	7
17	15
18	16
19	5
20	1
21	1
22	8
23	27
24	34
25	25
26	6
27	1
28	1
29	10
30	37
31	76
32	65
33	36
34	7
35	1
36	1
37	11
38	55
39	124
40	175
41	111
42	49
43	8
44	1
45	1
46	13
47	69
48	216
49	335
50	351
51	175
52	64
53	9
54	1
55	1
56	14
57	93
58	309
59	675
60	776
61	637
62	260
63	81
64	10
65	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	4
8	3
9	1
10	1
11	5
12	9
13	4
14	1
15	1
16	7
17	15
18	16
19	5
20	1
21	1
22	8
23	27
24	34
25	25
26	6
27	1
28	1
29	10
30	37
31	76
32	65
33	36
34	7
35	1
36	1
37	11
38	55
39	124
40	175
41	111
42	49
43	8
44	1
45	1
46	13
47	69
48	216
49	335
50	351
51	175
52	64
53	9
54	1
55	1
56	14
57	93
58	309
59	675
60	776
61	637
62	260
63	81
64	10
65	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	4
8	3
9	1
10	1
11	5
12	9
13	4
14	1
15	1
16	7
17	15
18	16
19	5
20	1
21	1
22	8
23	27
24	34
25	25
26	6
27	1
28	1
29	10
30	37
31	76
32	65
33	36
34	7
35	1
36	1
37	11
38	55
39	124
40	175
41	111
42	49
43	8
44	1
45	1
46	13
47	69
48	216
49	335
50	351
51	175
52	64
53	9
54	1
55	1
56	14
57	93
58	309
59	675
60	776
61	637
62	260
63	81
64	10
65	1