A191396 - cp's OEIS frontend

A191396 Sum of the heights of the base pyramids in all dispersed Dyck paths of length n (i.e., in all Motzkin paths of length n with no (1,0)-steps at positive heights). 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	0
1	0
2	1
3	2
4	7
5	14
6	35
7	70
8	156
9	312
10	663
11	1326
12	2756
13	5512
14	11325
15	22650
16	46227
17	92454
18	187891
19	375782
20	761465
21	1522930
22	3079475
23	6158950
24	12434015
25	24868030
26	50142687
27	100285374
28	202010787
29	404021574
30	813191039
31	1626382078
32	3271314744
33	6542629488

[0, 0, 1, 2, 7, 14, 35, 70, 156, 312, 663, 1326, 2756, 5512, 11325, 22650, 46227, 92454, 187891, 375782, 761465, 1522930, 3079475, 6158950, 12434015, 24868030, 50142687, 100285374, 202010787, 404021574, 813191039, 1626382078, 3271314744, 6542629488]

cp's OEIS Frontend

A191396 Sum of the heights of the base pyramids in all dispersed Dyck paths of length n (i.e., in all Motzkin paths of length n with no (1,0)-steps at positive heights). 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