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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.

A182905 Number of weighted lattice paths in F[n]. The members of F[n] are paths of weight n that start at (0,0), do not go below the horizontal axis, and whose steps are of the following four kinds: an (1,0)-step with weight 1, an (1,0)-step with weight 2, a (1,1)-step with weight 2, and a (1,-1)-step with weight 1. The weight of a path is the sum of the weights of its steps.

Table of values

n a(n)
0 1
1 1
2 3
3 6
4 14
5 32
6 75
7 177
8 422
9 1013
10 2447
11 5942
12 14495
13 35501
14 87257
15 215144
16 531970
17 1318726
18 3276644
19 8158736
20 20354413
21 50870857
22 127348839
23 319288920
24 801657469
25 2015431885
26 5073224661
27 12785062080
28 32254748838
29 81457050078

List of values

[1, 1, 3, 6, 14, 32, 75, 177, 422, 1013, 2447, 5942, 14495, 35501, 87257, 215144, 531970, 1318726, 3276644, 8158736, 20354413, 50870857, 127348839, 319288920, 801657469, 2015431885, 5073224661, 12785062080, 32254748838, 81457050078]

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

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