A247287 - cp's OEIS frontend

A247287 Number of weak peaks in all Motzkin paths of length n. A weak peak of a Motzkin path is a vertex on the top of a hump. A hump is an upstep followed by 0 or more flatsteps followed by a downstep. For example, the Motzkin path uduuhhdd, where u=(1,1), h=(1,0), d(1,-1), has 4 weak peaks (shown by the stars).

n	a(n)
0	0
1	0
2	1
3	4
4	13
5	38
6	108
7	304
8	857
9	2426
10	6902
11	19728
12	56622
13	163092
14	471205
15	1365008
16	3963321
17	11530786
18	33607190
19	98105616
20	286795300
21	839470664
22	2460038427
23	7216652488
24	21190820678
25	62279238828
26	183185851903
27	539220930004
28	1588341106957
29	4681678922366

[0, 0, 1, 4, 13, 38, 108, 304, 857, 2426, 6902, 19728, 56622, 163092, 471205, 1365008, 3963321, 11530786, 33607190, 98105616, 286795300, 839470664, 2460038427, 7216652488, 21190820678, 62279238828, 183185851903, 539220930004, 1588341106957, 4681678922366]

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