A182891 - cp's OEIS frontend

A182891 Triangle read by rows: T(n,k) is the number of weighted lattice paths in L_n having k (1,0)-steps of weight 2 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	1
2	1
3	1
4	3
5	2
6	7
7	3
8	1
9	15
10	8
11	3
12	35
13	21
14	6
15	1
16	83
17	50
18	16
19	4
20	197
21	123
22	45
23	10
24	1
25	473
26	308
27	117
28	28
29	5
30	1145
31	769
32	304
33	83
34	15
35	1
36	2787
37	1926
38	798
39	232
40	45
41	6
42	6819
43	4843
44	2085
45	636
46	140
47	21
48	1
49	16759
50	12204
51	5433
52	1744
53	416
54	68
55	7
56	41345
57	30813
58	14154
59	4749
60	1200
61	222
62	28
63	1

[1, 1, 1, 1, 3, 2, 7, 3, 1, 15, 8, 3, 35, 21, 6, 1, 83, 50, 16, 4, 197, 123, 45, 10, 1, 473, 308, 117, 28, 5, 1145, 769, 304, 83, 15, 1, 2787, 1926, 798, 232, 45, 6, 6819, 4843, 2085, 636, 140, 21, 1, 16759, 12204, 5433, 1744, 416, 68, 7, 41345, 30813, 14154, 4749, 1200, 222, 28, 1]

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