A108445 - cp's OEIS frontend

A108445 Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1),U=(1,2), or d=(1,-1) and have k pyramids (a pyramid is a sequence u^pd^p or U^pd^(2p) for some positive integer p, starting at the x-axis).

n	a(n)
0	1
1	0
2	2
3	4
4	2
5	4
6	32
7	18
8	8
9	8
10	252
11	146
12	60
13	24
14	16
15	2112
16	1186
17	496
18	176
19	64
20	32
21	18484
22	10146
23	4148
24	1488
25	480
26	160
27	64
28	166976
29	90162
30	36216
31	12792
32	4160
33	1248
34	384
35	128
36	1545548
37	824114
38	326828
39	113960
40	36720
41	11104
42	3136
43	896
44	256
45	14583808
46	7699394

[1, 0, 2, 4, 2, 4, 32, 18, 8, 8, 252, 146, 60, 24, 16, 2112, 1186, 496, 176, 64, 32, 18484, 10146, 4148, 1488, 480, 160, 64, 166976, 90162, 36216, 12792, 4160, 1248, 384, 128, 1545548, 824114, 326828, 113960, 36720, 11104, 3136, 896, 256, 14583808, 7699394]

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