A258309 - cp's OEIS frontend

A258309 A(n,k) is the sum over all Motzkin paths of length n of products over all peaks p of (k*x_p+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	4
10	1
11	1
12	4
13	7
14	9
15	1
16	1
17	5
18	10
19	23
20	21
21	1
22	1
23	6
24	13
25	43
26	71
27	51
28	1
29	1
30	7
31	16
32	69
33	151
34	255
35	127
36	1
37	1
38	8
39	19
40	101
41	261
42	703
43	911
44	323
45	1
46	1
47	9
48	22
49	139
50	401
51	1485
52	2983
53	3535
54	835
55	1
56	1
57	10
58	25
59	183
60	571
61	2691
62	6973
63	14977
64	13903
65	2188

[1, 1, 1, 1, 1, 2, 1, 1, 3, 4, 1, 1, 4, 7, 9, 1, 1, 5, 10, 23, 21, 1, 1, 6, 13, 43, 71, 51, 1, 1, 7, 16, 69, 151, 255, 127, 1, 1, 8, 19, 101, 261, 703, 911, 323, 1, 1, 9, 22, 139, 401, 1485, 2983, 3535, 835, 1, 1, 10, 25, 183, 571, 2691, 6973, 14977, 13903, 2188]

cp's OEIS Frontend

A258309 A(n,k) is the sum over all Motzkin paths of length n of products over all peaks p of (k*x_p+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