A110123 - cp's OEIS frontend

A110123 Triangle read by rows: T(n,k) is the number of Delannoy paths of length n, having k EE's and NN's crossing the line y = x (i.e., two consecutive E steps from the line y = x+1 to the line y = x-1 or two consecutive N steps from the line y = x-1 to the line y = x+1).

n	a(n)
0	1
1	3
2	11
3	2
4	45
5	16
6	2
7	197
8	100
9	22
10	2
11	903
12	576
13	174
14	28
15	2
16	4279
17	3206
18	1202
19	266
20	34
21	2
22	20793
23	17568
24	7732
25	2128
26	376
27	40
28	2
29	103049
30	95592
31	47676
32	15452
33	3408
34	504
35	46
36	2
37	518859
38	518720
39	286156
40	105528
41	27500
42	5096
43	650
44	52
45	2
46	2646723
47	2813514

[1, 3, 11, 2, 45, 16, 2, 197, 100, 22, 2, 903, 576, 174, 28, 2, 4279, 3206, 1202, 266, 34, 2, 20793, 17568, 7732, 2128, 376, 40, 2, 103049, 95592, 47676, 15452, 3408, 504, 46, 2, 518859, 518720, 286156, 105528, 27500, 5096, 650, 52, 2, 2646723, 2813514]

cp's OEIS Frontend

A110123 Triangle read by rows: T(n,k) is the number of Delannoy paths of length n, having k EE's and NN's crossing the line y = x (i.e., two consecutive E steps from the line y = x+1 to the line y = x-1 or two consecutive N steps from the line y = x-1 to the line y = x+1).

Table of values

List of values