A284415 - cp's OEIS frontend

A284415 Number of self-avoiding planar walks of length n starting at (0,0), ending on the x-axis, 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.

n	a(n)
0	1
1	1
2	3
3	5
4	14
5	34
6	96
7	259
8	748
9	2142
10	6329
11	18727
12	56358
13	170370
14	520354
15	1596980
16	4935307
17	15319460
18	47794472
19	149681904
20	470620062
21	1484513696
22	4697619876
23	14906459690
24	47426014833
25	151247657528
26	483426998881
27	1548323383749
28	4968516324954
29	15972198595374

[1, 1, 3, 5, 14, 34, 96, 259, 748, 2142, 6329, 18727, 56358, 170370, 520354, 1596980, 4935307, 15319460, 47794472, 149681904, 470620062, 1484513696, 4697619876, 14906459690, 47426014833, 151247657528, 483426998881, 1548323383749, 4968516324954, 15972198595374]

cp's OEIS Frontend

A284415 Number of self-avoiding planar walks of length n starting at (0,0), ending on the x-axis, 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.

Table of values

List of values