A108891 - cp's OEIS frontend

A108891 Triangle read by rows: T(n,k) = number of Schroeder (or royal) n-paths (A006318) containing k returns to the diagonal y=x. (A northeast step lying on y=x contributes a return.)

n	a(n)
1	2
2	2
3	4
4	6
5	8
6	8
7	22
8	28
9	24
10	16
11	90
12	112
13	96
14	64
15	32
16	394
17	484
18	416
19	288
20	160
21	64
22	1806
23	2200
24	1896
25	1344
26	800
27	384
28	128
29	8558
30	10364
31	8952
32	6448
33	4000
34	2112
35	896
36	256
37	41586
38	50144
39	43392
40	31616
41	20160
42	11264
43	5376
44	2048
45	512

[2, 2, 4, 6, 8, 8, 22, 28, 24, 16, 90, 112, 96, 64, 32, 394, 484, 416, 288, 160, 64, 1806, 2200, 1896, 1344, 800, 384, 128, 8558, 10364, 8952, 6448, 4000, 2112, 896, 256, 41586, 50144, 43392, 31616, 20160, 11264, 5376, 2048, 512]

cp's OEIS Frontend

A108891 Triangle read by rows: T(n,k) = number of Schroeder (or royal) n-paths (A006318) containing k returns to the diagonal y=x. (A northeast step lying on y=x contributes a return.)

Table of values

List of values