A097777 - cp's OEIS frontend

A097777 Triangle read by rows: T(n,k) = number of peakless Motzkin paths of length n containing k U H^j Us for some j>0, where U=(1,1) and H=(1,0) (can be easily expressed using RNA secondary structure terminology).

n	a(n)
0	1
1	1
2	1
3	2
4	4
5	8
6	16
7	1
8	32
9	5
10	65
11	17
12	134
13	50
14	1
15	280
16	136
17	7
18	592
19	355
20	31
21	1264
22	904
23	114
24	1
25	2722
26	2264
27	378
28	9
29	5906
30	5604
31	1176
32	49
33	12900
34	13752
35	3504
36	215
37	1
38	28344
39	33530
40	10112
41	835
42	11
43	62608
44	81358
45	28468
46	2997
47	71
48	138949
49	196688
50	78576
51	10173
52	361
53	1

[1, 1, 1, 2, 4, 8, 16, 1, 32, 5, 65, 17, 134, 50, 1, 280, 136, 7, 592, 355, 31, 1264, 904, 114, 1, 2722, 2264, 378, 9, 5906, 5604, 1176, 49, 12900, 13752, 3504, 215, 1, 28344, 33530, 10112, 835, 11, 62608, 81358, 28468, 2997, 71, 138949, 196688, 78576, 10173, 361, 1]

cp's OEIS Frontend

A097777 Triangle read by rows: T(n,k) = number of peakless Motzkin paths of length n containing k U H^j Us for some j>0, where U=(1,1) and H=(1,0) (can be easily expressed using RNA secondary structure terminology).

Table of values

List of values