A287548 - cp's OEIS frontend

A287548 Triangle read by rows: T(n,k), where each row begins with the Catalan number for n nonintersecting arches and transitions through k generations of eliminating and reducing arch configurations to an end row entry equal to number of semi-meander solutions for n arches.

n	a(n)
1	1
2	2
3	1
4	5
5	3
6	2
7	14
8	9
9	7
10	4
11	42
12	28
13	23
14	16
15	10
16	132
17	90
18	76
19	57
20	42
21	24
22	429
23	297
24	255
25	199
26	156
27	108
28	66
29	1430
30	1001
31	869
32	695
33	563
34	420
35	304
36	174
37	4862
38	3432
39	3003
40	2442
41	2019
42	1568
43	1210
44	836
45	504

[1, 2, 1, 5, 3, 2, 14, 9, 7, 4, 42, 28, 23, 16, 10, 132, 90, 76, 57, 42, 24, 429, 297, 255, 199, 156, 108, 66, 1430, 1001, 869, 695, 563, 420, 304, 174, 4862, 3432, 3003, 2442, 2019, 1568, 1210, 836, 504]

cp's OEIS Frontend

A287548 Triangle read by rows: T(n,k), where each row begins with the Catalan number for n nonintersecting arches and transitions through k generations of eliminating and reducing arch configurations to an end row entry equal to number of semi-meander solutions for n arches.

Table of values

List of values