A182878 - cp's OEIS frontend

A182878 Triangle read by rows: T(n,k) is the number of lattice paths L_n of weight n having length k (0 <= k <= n). These are paths that start at (0,0) and end on the horizontal axis and whose steps are of the following four kinds: a (1,0)-step with weight 1, a (1,0)-step with weight 2, a (1,1)-step with weight 2, and a (1,-1)-step with weight 1.

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	0
8	4
9	1
10	0
11	0
12	1
13	9
14	1
15	0
16	0
17	0
18	9
19	16
20	1
21	0
22	0
23	0
24	1
25	36
26	25
27	1
28	0
29	0
30	0
31	0
32	16
33	100
34	36
35	1
36	0
37	0
38	0
39	0
40	1
41	100
42	225
43	49
44	1
45	0
46	0
47	0
48	0
49	0
50	25
51	400
52	441
53	64
54	1
55	0
56	0
57	0
58	0
59	0
60	1
61	225
62	1225
63	784
64	81
65	1
66	0
67	0
68	0
69	0
70	0
71	0
72	36
73	1225
74	3136
75	1296
76	100
77	1
78	0
79	0
80	0
81	0
82	0
83	0
84	1
85	441
86	4900
87	7056
88	2025
89	121
90	1

[1, 0, 1, 0, 1, 1, 0, 0, 4, 1, 0, 0, 1, 9, 1, 0, 0, 0, 9, 16, 1, 0, 0, 0, 1, 36, 25, 1, 0, 0, 0, 0, 16, 100, 36, 1, 0, 0, 0, 0, 1, 100, 225, 49, 1, 0, 0, 0, 0, 0, 25, 400, 441, 64, 1, 0, 0, 0, 0, 0, 1, 225, 1225, 784, 81, 1, 0, 0, 0, 0, 0, 0, 36, 1225, 3136, 1296, 100, 1, 0, 0, 0, 0, 0, 0, 1, 441, 4900, 7056, 2025, 121, 1]

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