A284652 - cp's OEIS frontend

A284652 Number T(n,k) of self-avoiding planar walks of length k starting at (0,0), ending at (n,0), remaining in the first quadrant and using steps (0,1), (1,0), (1,1), (-1,1), and (1,-1) with the restriction that (0,1) is never used below the diagonal and (1,0) is never used above the diagonal; triangle T(n,k), k>=0, floor((sqrt(1+8*k)-1)/2)<=n<=k, read by columns.

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	4
6	1
7	4
8	9
9	1
10	4
11	8
12	21
13	7
14	16
15	22
16	51
17	3
18	21
19	54
20	54
21	127
22	1
23	17
24	87
25	178
26	142
27	323
28	1
29	15
30	87
31	269
32	565
33	370
34	835
35	10
36	116
37	370
38	896
39	1766
40	983
41	2188
42	9
43	99
44	499
45	1473
46	2776
47	5446
48	2627
49	5798
50	4
51	91
52	536
53	2290
54	5528
55	8657
56	16655
57	7086
58	15511

[1, 1, 1, 2, 1, 4, 1, 4, 9, 1, 4, 8, 21, 7, 16, 22, 51, 3, 21, 54, 54, 127, 1, 17, 87, 178, 142, 323, 1, 15, 87, 269, 565, 370, 835, 10, 116, 370, 896, 1766, 983, 2188, 9, 99, 499, 1473, 2776, 5446, 2627, 5798, 4, 91, 536, 2290, 5528, 8657, 16655, 7086, 15511]

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