A182896 - cp's OEIS frontend

A182896 Triangle read by rows: T(n,k) is the number of weighted lattice paths in L_n having k (1,-1)-returns to the horizontal axis. 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	2
3	4
4	1
5	8
6	3
7	17
8	9
9	37
10	25
11	1
12	82
13	66
14	5
15	185
16	171
17	20
18	423
19	437
20	70
21	1
22	978
23	1107
24	225
25	7
26	2283
27	2790
28	686
29	35
30	5373
31	7009
32	2015
33	147
34	1
35	12735
36	17574
37	5760
38	553
39	9
40	30372
41	44019
42	16135
43	1932
44	54
45	72832
46	110210
47	44500
48	6398
49	264
50	1
51	175502
52	275925
53	121247
54	20350
55	1134
56	11

[1, 1, 2, 4, 1, 8, 3, 17, 9, 37, 25, 1, 82, 66, 5, 185, 171, 20, 423, 437, 70, 1, 978, 1107, 225, 7, 2283, 2790, 686, 35, 5373, 7009, 2015, 147, 1, 12735, 17574, 5760, 553, 9, 30372, 44019, 16135, 1932, 54, 72832, 110210, 44500, 6398, 264, 1, 175502, 275925, 121247, 20350, 1134, 11]

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