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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.

A333679 Sum of the heights of all nonnegative lattice paths from (0,0) to (n,0) such that slopes of adjacent steps differ by at most one, assuming zero slope before and after the paths.

Table of values

n a(n)
0 0
1 0
2 0
3 1
4 3
5 8
6 20
7 53
8 137
9 375
10 1035
11 2878
12 7988
13 22308
14 62642
15 176692
16 499818
17 1418228
18 4035568
19 11512449
20 32916181
21 94313011
22 270757747
23 778694171
24 2243200705
25 6471953522
26 18699169766
27 54098598824
28 156706773404
29 454457344755
30 1319382151919
31 3834346819731

List of values

[0, 0, 0, 1, 3, 8, 20, 53, 137, 375, 1035, 2878, 7988, 22308, 62642, 176692, 499818, 1418228, 4035568, 11512449, 32916181, 94313011, 270757747, 778694171, 2243200705, 6471953522, 18699169766, 54098598824, 156706773404, 454457344755, 1319382151919, 3834346819731]

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

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