A182882 - cp's OEIS frontend

A182882 Triangle read by rows: T(n,k) is the number of weighted lattice paths in L_n having k (1,0)-steps of weight 1. L_n is the set of lattice 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; 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	1
4	0
5	1
6	2
7	2
8	0
9	1
10	1
11	6
12	3
13	0
14	1
15	6
16	3
17	12
18	4
19	0
20	1
21	7
22	24
23	6
24	20
25	5
26	0
27	1
28	12
29	34
30	60
31	10
32	30
33	6
34	0
35	1
36	31
37	60
38	100
39	120
40	15
41	42
42	7
43	0
44	1
45	40
46	185
47	180
48	230
49	210
50	21
51	56
52	8
53	0
54	1
55	91
56	260
57	645
58	420
59	455
60	336
61	28
62	72
63	9
64	0
65	1
66	170
67	636
68	980
69	1715
70	840
71	812
72	504
73	36
74	90
75	10
76	0
77	1

[1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 6, 3, 0, 1, 6, 3, 12, 4, 0, 1, 7, 24, 6, 20, 5, 0, 1, 12, 34, 60, 10, 30, 6, 0, 1, 31, 60, 100, 120, 15, 42, 7, 0, 1, 40, 185, 180, 230, 210, 21, 56, 8, 0, 1, 91, 260, 645, 420, 455, 336, 28, 72, 9, 0, 1, 170, 636, 980, 1715, 840, 812, 504, 36, 90, 10, 0, 1]

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