A359364 - cp's OEIS frontend

A359364 Triangle read by rows. The Motzkin triangle, the coefficients of the Motzkin polynomials. M(n, k) = binomial(n, k) * CatalanNumber(k/2) if k is even, otherwise 0.

n	a(n)
0	1
1	1
2	0
3	1
4	0
5	1
6	1
7	0
8	3
9	0
10	1
11	0
12	6
13	0
14	2
15	1
16	0
17	10
18	0
19	10
20	0
21	1
22	0
23	15
24	0
25	30
26	0
27	5
28	1
29	0
30	21
31	0
32	70
33	0
34	35
35	0
36	1
37	0
38	28
39	0
40	140
41	0
42	140
43	0
44	14
45	1
46	0
47	36
48	0
49	252
50	0
51	420
52	0
53	126
54	0
55	1
56	0
57	45
58	0
59	420
60	0
61	1050
62	0
63	630
64	0
65	42
66	1
67	0
68	55
69	0
70	660
71	0
72	2310
73	0
74	2310
75	0
76	462
77	0

[1, 1, 0, 1, 0, 1, 1, 0, 3, 0, 1, 0, 6, 0, 2, 1, 0, 10, 0, 10, 0, 1, 0, 15, 0, 30, 0, 5, 1, 0, 21, 0, 70, 0, 35, 0, 1, 0, 28, 0, 140, 0, 140, 0, 14, 1, 0, 36, 0, 252, 0, 420, 0, 126, 0, 1, 0, 45, 0, 420, 0, 1050, 0, 630, 0, 42, 1, 0, 55, 0, 660, 0, 2310, 0, 2310, 0, 462, 0]

cp's OEIS Frontend

A359364 Triangle read by rows. The Motzkin triangle, the coefficients of the Motzkin polynomials. M(n, k) = binomial(n, k) * CatalanNumber(k/2) if k is even, otherwise 0.

Table of values

List of values