A182893 - cp's OEIS frontend

A182893 Triangle read by rows: T(n,k) is the number of weighted lattice paths in L_n having k (1,0)-steps at level 0. The members of L_n are paths of weight n that start at (0,0) , end on 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	1
5	1
6	2
7	0
8	2
9	1
10	2
11	4
12	1
13	3
14	1
15	4
16	8
17	6
18	3
19	4
20	1
21	12
22	12
23	18
24	9
25	6
26	5
27	1
28	24
29	36
30	30
31	32
32	14
33	10
34	6
35	1
36	54
37	84
38	78
39	64
40	51
41	22
42	15
43	7
44	1
45	130
46	184
47	204
48	152
49	120
50	77
51	34
52	21
53	8
54	1
55	300
56	452
57	462
58	416
59	280
60	205
61	113
62	51
63	28
64	9
65	1
66	706
67	1084
68	1130
69	1000
70	770
71	492
72	328
73	163
74	74
75	36
76	10
77	1

[1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 4, 1, 3, 1, 4, 8, 6, 3, 4, 1, 12, 12, 18, 9, 6, 5, 1, 24, 36, 30, 32, 14, 10, 6, 1, 54, 84, 78, 64, 51, 22, 15, 7, 1, 130, 184, 204, 152, 120, 77, 34, 21, 8, 1, 300, 452, 462, 416, 280, 205, 113, 51, 28, 9, 1, 706, 1084, 1130, 1000, 770, 492, 328, 163, 74, 36, 10, 1]

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