A258306 - cp's OEIS frontend

A258306 A(n,k) is the sum over all Motzkin paths of length n of products over all peaks p of (x_p+k*y_p)/y_p, where x_p and y_p are the coordinates of peak p; square array A(n,k), n>=0, k>=0, read by antidiagonals.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	5
10	1
11	1
12	4
13	7
14	14
15	1
16	1
17	5
18	9
19	23
20	43
21	1
22	1
23	6
24	11
25	34
26	71
27	141
28	1
29	1
30	7
31	13
32	47
33	105
34	255
35	490
36	1
37	1
38	8
39	15
40	62
41	145
42	411
43	911
44	1785
45	1
46	1
47	9
48	17
49	79
50	191
51	615
52	1496
53	3535
54	6789
55	1
56	1
57	10
58	19
59	98
60	243
61	873
62	2269
63	6169
64	13903
65	26809

[1, 1, 1, 1, 1, 2, 1, 1, 3, 5, 1, 1, 4, 7, 14, 1, 1, 5, 9, 23, 43, 1, 1, 6, 11, 34, 71, 141, 1, 1, 7, 13, 47, 105, 255, 490, 1, 1, 8, 15, 62, 145, 411, 911, 1785, 1, 1, 9, 17, 79, 191, 615, 1496, 3535, 6789, 1, 1, 10, 19, 98, 243, 873, 2269, 6169, 13903, 26809]

cp's OEIS Frontend

A258306 A(n,k) is the sum over all Motzkin paths of length n of products over all peaks p of (x_p+k*y_p)/y_p, where x_p and y_p are the coordinates of peak p; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Table of values

List of values