A246187 - cp's OEIS frontend

A246187 Triangle read by rows: T(n,k) is the number of weighted lattice paths in F[n] having length k (length = number of steps). The members of F[n] are paths of weight n that start at (0,0), do not go below the horizontal axis, and whose steps are of the following four kinds: an (1,0)-step with weight 1, an (1,0)-step with weight 2, a (1,1)-step with weight 2, and a (1,-1)-step with weight 1. The weight of a path is the sum of the weights of its steps.

n	a(n)
0	1
1	0
2	1
3	0
4	2
5	1
6	0
7	0
8	5
9	1
10	0
11	0
12	4
13	9
14	1
15	0
16	0
17	0
18	17
19	14
20	1
21	0
22	0
23	0
24	8
25	46
26	20
27	1
28	0
29	0
30	0
31	0
32	49
33	100
34	27
35	1
36	0
37	0
38	0
39	0
40	16
41	180
42	190
43	35
44	1
45	0
46	0
47	0
48	0
49	0
50	129
51	510
52	329
53	44
54	1
55	0
56	0
57	0
58	0
59	0
60	32
61	603
62	1225
63	532
64	54
65	1
66	0
67	0
68	0
69	0
70	0
71	0
72	321
73	2121
74	2618
75	816
76	65
77	1
78	0
79	0
80	0
81	0
82	0
83	0
84	64
85	1827
86	6202
87	5124
88	1200
89	77
90	1

[1, 0, 1, 0, 2, 1, 0, 0, 5, 1, 0, 0, 4, 9, 1, 0, 0, 0, 17, 14, 1, 0, 0, 0, 8, 46, 20, 1, 0, 0, 0, 0, 49, 100, 27, 1, 0, 0, 0, 0, 16, 180, 190, 35, 1, 0, 0, 0, 0, 0, 129, 510, 329, 44, 1, 0, 0, 0, 0, 0, 32, 603, 1225, 532, 54, 1, 0, 0, 0, 0, 0, 0, 321, 2121, 2618, 816, 65, 1, 0, 0, 0, 0, 0, 0, 64, 1827, 6202, 5124, 1200, 77, 1]

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