A190164 - cp's OEIS frontend

A190164 Triangle read by rows: T(n,k) is the number of peakless Motzkin paths of length n having a total of k (1,0)-steps at levels 0,2,4,... .

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	1
7	0
8	0
9	1
10	1
11	2
12	0
13	0
14	1
15	1
16	3
17	3
18	0
19	0
20	1
21	2
22	4
23	6
24	4
25	0
26	0
27	1
28	4
29	8
30	9
31	10
32	5
33	0
34	0
35	1
36	7
37	18
38	19
39	16
40	15
41	6
42	0
43	0
44	1
45	12
46	35
47	48
48	36
49	25
50	21
51	7
52	0
53	0
54	1
55	22
56	66
57	102
58	100
59	60
60	36
61	28
62	8
63	0
64	0
65	1
66	41
67	132
68	209
69	229
70	180
71	92
72	49
73	36
74	9
75	0
76	0
77	1
78	76
79	266
80	450
81	504
82	440
83	294
84	133
85	64
86	45
87	10
88	0
89	0
90	1

[1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 3, 3, 0, 0, 1, 2, 4, 6, 4, 0, 0, 1, 4, 8, 9, 10, 5, 0, 0, 1, 7, 18, 19, 16, 15, 6, 0, 0, 1, 12, 35, 48, 36, 25, 21, 7, 0, 0, 1, 22, 66, 102, 100, 60, 36, 28, 8, 0, 0, 1, 41, 132, 209, 229, 180, 92, 49, 36, 9, 0, 0, 1, 76, 266, 450, 504, 440, 294, 133, 64, 45, 10, 0, 0, 1]

cp's OEIS Frontend

A190164 Triangle read by rows: T(n,k) is the number of peakless Motzkin paths of length n having a total of k (1,0)-steps at levels 0,2,4,... .

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	1
7	0
8	0
9	1
10	1
11	2
12	0
13	0
14	1
15	1
16	3
17	3
18	0
19	0
20	1
21	2
22	4
23	6
24	4
25	0
26	0
27	1
28	4
29	8
30	9
31	10
32	5
33	0
34	0
35	1
36	7
37	18
38	19
39	16
40	15
41	6
42	0
43	0
44	1
45	12
46	35
47	48
48	36
49	25
50	21
51	7
52	0
53	0
54	1
55	22
56	66
57	102
58	100
59	60
60	36
61	28
62	8
63	0
64	0
65	1
66	41
67	132
68	209
69	229
70	180
71	92
72	49
73	36
74	9
75	0
76	0
77	1
78	76
79	266
80	450
81	504
82	440
83	294
84	133
85	64
86	45
87	10
88	0
89	0
90	1

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	1
7	0
8	0
9	1
10	1
11	2
12	0
13	0
14	1
15	1
16	3
17	3
18	0
19	0
20	1
21	2
22	4
23	6
24	4
25	0
26	0
27	1
28	4
29	8
30	9
31	10
32	5
33	0
34	0
35	1
36	7
37	18
38	19
39	16
40	15
41	6
42	0
43	0
44	1
45	12
46	35
47	48
48	36
49	25
50	21
51	7
52	0
53	0
54	1
55	22
56	66
57	102
58	100
59	60
60	36
61	28
62	8
63	0
64	0
65	1
66	41
67	132
68	209
69	229
70	180
71	92
72	49
73	36
74	9
75	0
76	0
77	1
78	76
79	266
80	450
81	504
82	440
83	294
84	133
85	64
86	45
87	10
88	0
89	0
90	1

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	1
7	0
8	0
9	1
10	1
11	2
12	0
13	0
14	1
15	1
16	3
17	3
18	0
19	0
20	1
21	2
22	4
23	6
24	4
25	0
26	0
27	1
28	4
29	8
30	9
31	10
32	5
33	0
34	0
35	1
36	7
37	18
38	19
39	16
40	15
41	6
42	0
43	0
44	1
45	12
46	35
47	48
48	36
49	25
50	21
51	7
52	0
53	0
54	1
55	22
56	66
57	102
58	100
59	60
60	36
61	28
62	8
63	0
64	0
65	1
66	41
67	132
68	209
69	229
70	180
71	92
72	49
73	36
74	9
75	0
76	0
77	1
78	76
79	266
80	450
81	504
82	440
83	294
84	133
85	64
86	45
87	10
88	0
89	0
90	1