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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A284414 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), n>=0, n<=k<=n*(n+3)/2, read by rows.

Table of values

n a(n)
0 1
1 1
2 1
3 2
4 1
5 1
6 1
7 4
8 4
9 4
10 7
11 3
12 1
13 1
14 9
15 8
16 16
17 21
18 17
19 15
20 10
21 9
22 4
23 1
24 1
25 21
26 22
27 54
28 87
29 87
30 116
31 99
32 91
33 78
34 42
35 31
36 17
37 10
38 5
39 1
40 1
41 51
42 54
43 178
44 269
45 370
46 499
47 536
48 590
49 560
50 510
51 420
52 350
53 268
54 185
55 132
56 69
57 44
58 23
59 11
60 6
61 1
62 1

List of values

[1, 1, 1, 2, 1, 1, 1, 4, 4, 4, 7, 3, 1, 1, 9, 8, 16, 21, 17, 15, 10, 9, 4, 1, 1, 21, 22, 54, 87, 87, 116, 99, 91, 78, 42, 31, 17, 10, 5, 1, 1, 51, 54, 178, 269, 370, 499, 536, 590, 560, 510, 420, 350, 268, 185, 132, 69, 44, 23, 11, 6, 1, 1]

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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