A340043 - cp's OEIS frontend

A340043 Triangle T(n,k), n>=1, 0 <= k <= A002620(n-1), read by rows, where T(n,k) is the number of self-avoiding paths of length 2*(n+k) along the edges of a grid with n X n square cells, which do not pass above the diagonal, start at the lower left corner and finish at the upper right corner.

n	a(n)
1	1
2	2
3	5
4	2
5	14
6	16
7	10
8	42
9	90
10	123
11	94
12	20
13	132
14	440
15	954
16	1460
17	1524
18	922
19	248
20	429
21	2002
22	6017
23	13688
24	24582
25	34536
26	35487
27	24042
28	8852
29	1072
30	1430
31	8736
32	33784
33	101232
34	251646
35	530900
36	944042
37	1369110
38	1541774
39	1264402
40	693740
41	221738
42	31178

[1, 2, 5, 2, 14, 16, 10, 42, 90, 123, 94, 20, 132, 440, 954, 1460, 1524, 922, 248, 429, 2002, 6017, 13688, 24582, 34536, 35487, 24042, 8852, 1072, 1430, 8736, 33784, 101232, 251646, 530900, 944042, 1369110, 1541774, 1264402, 693740, 221738, 31178]

cp's OEIS Frontend

A340043 Triangle T(n,k), n>=1, 0 <= k <= A002620(n-1), read by rows, where T(n,k) is the number of self-avoiding paths of length 2*(n+k) along the edges of a grid with n X n square cells, which do not pass above the diagonal, start at the lower left corner and finish at the upper right corner.

Table of values

List of values