A026300 - cp's OEIS frontend

A026300 Motzkin triangle, T, read by rows; T(0,0) = T(1,0) = T(1,1) = 1; for n >= 2, T(n,0) = 1, T(n,k) = T(n-1,k-2) + T(n-1,k-1) + T(n-1,k) for k = 1,2,...,n-1 and T(n,n) = T(n-1,n-2) + T(n-1,n-1).

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	2
6	1
7	3
8	5
9	4
10	1
11	4
12	9
13	12
14	9
15	1
16	5
17	14
18	25
19	30
20	21
21	1
22	6
23	20
24	44
25	69
26	76
27	51
28	1
29	7
30	27
31	70
32	133
33	189
34	196
35	127
36	1
37	8
38	35
39	104
40	230
41	392
42	518
43	512
44	323
45	1
46	9
47	44
48	147
49	369
50	726
51	1140
52	1422
53	1353
54	835
55	1
56	10
57	54
58	200
59	560
60	1242
61	2235
62	3288
63	3915
64	3610
65	2188

[1, 1, 1, 1, 2, 2, 1, 3, 5, 4, 1, 4, 9, 12, 9, 1, 5, 14, 25, 30, 21, 1, 6, 20, 44, 69, 76, 51, 1, 7, 27, 70, 133, 189, 196, 127, 1, 8, 35, 104, 230, 392, 518, 512, 323, 1, 9, 44, 147, 369, 726, 1140, 1422, 1353, 835, 1, 10, 54, 200, 560, 1242, 2235, 3288, 3915, 3610, 2188]

cp's OEIS Frontend

A026300 Motzkin triangle, T, read by rows; T(0,0) = T(1,0) = T(1,1) = 1; for n >= 2, T(n,0) = 1, T(n,k) = T(n-1,k-2) + T(n-1,k-1) + T(n-1,k) for k = 1,2,...,n-1 and T(n,n) = T(n-1,n-2) + T(n-1,n-1).

Table of values

List of values