A191393 - cp's OEIS frontend

A191393 Number of dispersed Dyck paths of length n (i.e., of Motzkin paths of length n with no (1,0)-steps at positive heights) having no base pyramids. A base pyramid is a factor of the form U^j D^j (j>0), starting at the horizontal axis. Here U=(1,1) and D=(1,-1).

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	3
8	8
9	13
10	31
11	49
12	109
13	170
14	371
15	581
16	1270
17	2010
18	4417
19	7063
20	15581
21	25123
22	55554
23	90179
24	199752
25	326089
26	723351
27	1186670
28	2635764
29	4342829
30	9657336
31	15973459
32	35558165
33	59017088
34	131500422
35	218932442
36	488234057
37	815127111
38	1819186163

[1, 1, 1, 1, 1, 1, 2, 3, 8, 13, 31, 49, 109, 170, 371, 581, 1270, 2010, 4417, 7063, 15581, 25123, 55554, 90179, 199752, 326089, 723351, 1186670, 2635764, 4342829, 9657336, 15973459, 35558165, 59017088, 131500422, 218932442, 488234057, 815127111, 1819186163]

cp's OEIS Frontend

A191393 Number of dispersed Dyck paths of length n (i.e., of Motzkin paths of length n with no (1,0)-steps at positive heights) having no base pyramids. A base pyramid is a factor of the form U^j D^j (j>0), starting at the horizontal axis. Here U=(1,1) and D=(1,-1).

Table of values

List of values