A246182 - cp's OEIS frontend

A246182 Triangle read by rows: T(n,k) is the number of weighted lattice paths B(n) having k hh's. B(n) is the set of lattice paths of weight n that start in (0,0), end on the horizontal axis and never go below this axis, whose steps are of the following four kinds: a (1,0)-step h of weight 1; a (1,0)-step H of weight 2; a (1,1)-step u of weight 2; a (1,-1)-step d of 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	0
6	1
7	5
8	2
9	0
10	1
11	9
12	5
13	2
14	0
15	1
16	19
17	9
18	6
19	2
20	0
21	1
22	39
23	21
24	12
25	7
26	2
27	0
28	1
29	79
30	53
31	27
32	15
33	8
34	2
35	0
36	1
37	167
38	118
39	74
40	34
41	18
42	9
43	2
44	0
45	1
46	357
47	269
48	180
49	96
50	42
51	21
52	10
53	2
54	0
55	1
56	763
57	639
58	419
59	254
60	119
61	51
62	24
63	11
64	2
65	0
66	1
67	1651
68	1486
69	1045
70	605
71	340
72	143
73	61
74	27
75	12
76	2
77	0
78	1

[1, 1, 1, 1, 3, 0, 1, 5, 2, 0, 1, 9, 5, 2, 0, 1, 19, 9, 6, 2, 0, 1, 39, 21, 12, 7, 2, 0, 1, 79, 53, 27, 15, 8, 2, 0, 1, 167, 118, 74, 34, 18, 9, 2, 0, 1, 357, 269, 180, 96, 42, 21, 10, 2, 0, 1, 763, 639, 419, 254, 119, 51, 24, 11, 2, 0, 1, 1651, 1486, 1045, 605, 340, 143, 61, 27, 12, 2, 0, 1]

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