cp's OEIS Frontend

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.

A357654 Number of lattice paths from (0,0) to (i,n-2*i) that do not go above the diagonal x=y using steps in {(1,0), (0,1)}.

Table of values

n a(n)
0 1
1 0
2 1
3 1
4 1
5 2
6 3
7 3
8 6
9 9
10 10
11 19
12 29
13 34
14 63
15 97
16 118
17 215
18 333
19 416
20 749
21 1165
22 1485
23 2650
24 4135
25 5355
26 9490
27 14845
28 19473
29 34318
30 53791
31 71313
32 125104
33 196417
34 262735
35 459152
36 721887
37 973027
38 1694914
39 2667941
40 3619955
41 6287896
42 9907851
43 13521307
44 23429158

List of values

[1, 0, 1, 1, 1, 2, 3, 3, 6, 9, 10, 19, 29, 34, 63, 97, 118, 215, 333, 416, 749, 1165, 1485, 2650, 4135, 5355, 9490, 14845, 19473, 34318, 53791, 71313, 125104, 196417, 262735, 459152, 721887, 973027, 1694914, 2667941, 3619955, 6287896, 9907851, 13521307, 23429158]