A182898 - cp's OEIS frontend

A182898 Triangle read by rows: T(n,k) is the number of weighted lattice paths in L_n having k returns to the horizontal axis (both from above and below). 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	3
4	2
5	5
6	6
7	8
8	18
9	13
10	46
11	4
12	21
13	112
14	20
15	34
16	262
17	80
18	55
19	600
20	268
21	8
22	89
23	1356
24	816
25	56
26	144
27	3046
28	2324
29	280
30	233
31	6832
32	6320
33	1144
34	16
35	377
36	15354
37	16620
38	4136
39	144
40	610
41	34658
42	42652
43	13728
44	864
45	987
46	78706
47	107520
48	42816
49	4144
50	32
51	1597
52	180000
53	267564
54	127392
55	17264
56	352

[1, 1, 2, 3, 2, 5, 6, 8, 18, 13, 46, 4, 21, 112, 20, 34, 262, 80, 55, 600, 268, 8, 89, 1356, 816, 56, 144, 3046, 2324, 280, 233, 6832, 6320, 1144, 16, 377, 15354, 16620, 4136, 144, 610, 34658, 42652, 13728, 864, 987, 78706, 107520, 42816, 4144, 32, 1597, 180000, 267564, 127392, 17264, 352]

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