A258222 - cp's OEIS frontend

A258222 A(n,k) is the sum over all Dyck paths of semilength 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	2
5	2
6	1
7	3
8	10
9	5
10	1
11	4
12	24
13	74
14	14
15	1
16	5
17	44
18	297
19	706
20	42
21	1
22	6
23	70
24	764
25	4896
26	8162
27	132
28	1
29	7
30	102
31	1565
32	17924
33	100278
34	110410
35	429
36	1
37	8
38	140
39	2790
40	47650
41	527844
42	2450304
43	1708394
44	1430
45	1
46	9
47	184
48	4529
49	104454
50	1831250
51	18685164
52	69533397
53	29752066
54	4862

[1, 1, 1, 1, 2, 2, 1, 3, 10, 5, 1, 4, 24, 74, 14, 1, 5, 44, 297, 706, 42, 1, 6, 70, 764, 4896, 8162, 132, 1, 7, 102, 1565, 17924, 100278, 110410, 429, 1, 8, 140, 2790, 47650, 527844, 2450304, 1708394, 1430, 1, 9, 184, 4529, 104454, 1831250, 18685164, 69533397, 29752066, 4862]

cp's OEIS Frontend

A258222 A(n,k) is the sum over all Dyck paths of semilength 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