A258219 - cp's OEIS frontend

A258219 A(n,k) is the sum over all Dyck paths of semilength 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	2
5	4
6	1
7	3
8	10
9	25
10	1
11	4
12	18
13	74
14	208
15	1
16	5
17	28
18	153
19	706
20	2146
21	1
22	6
23	40
24	268
25	1638
26	8162
27	26368
28	1
29	7
30	54
31	425
32	3172
33	20898
34	110410
35	375733
36	1
37	8
38	70
39	630
40	5500
41	44164
42	307908
43	1708394
44	6092032
45	1
46	9
47	88
48	889
49	8838
50	82850
51	702844
52	5134293
53	29752066
54	110769550

[1, 1, 1, 1, 2, 4, 1, 3, 10, 25, 1, 4, 18, 74, 208, 1, 5, 28, 153, 706, 2146, 1, 6, 40, 268, 1638, 8162, 26368, 1, 7, 54, 425, 3172, 20898, 110410, 375733, 1, 8, 70, 630, 5500, 44164, 307908, 1708394, 6092032, 1, 9, 88, 889, 8838, 82850, 702844, 5134293, 29752066, 110769550]

cp's OEIS Frontend

A258219 A(n,k) is the sum over all Dyck paths of semilength 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