A108451 - cp's OEIS frontend

A108451 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 of the first kind (a pyramid of the first kind is a sequence u^pd^p for some positive integer p, starting at the x-axis).

n	a(n)
0	1
1	1
2	1
3	6
4	3
5	1
6	44
7	16
8	5
9	1
10	344
11	116
12	30
13	7
14	1
15	2856
16	928
17	224
18	48
19	9
20	1
21	24816
22	7856
23	1840
24	376
25	70
26	11
27	1
28	223016
29	69264
30	15912
31	3184
32	580
33	96
34	13
35	1
36	2056256
37	629472
38	142592
39	28176
40	5080
41	844
42	126
43	15
44	1
45	19344472
46	5855472
47	1312360
48	256992
49	46072

[1, 1, 1, 6, 3, 1, 44, 16, 5, 1, 344, 116, 30, 7, 1, 2856, 928, 224, 48, 9, 1, 24816, 7856, 1840, 376, 70, 11, 1, 223016, 69264, 15912, 3184, 580, 96, 13, 1, 2056256, 629472, 142592, 28176, 5080, 844, 126, 15, 1, 19344472, 5855472, 1312360, 256992, 46072]

cp's OEIS Frontend

Table of values

List of values