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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.

A333682 Number of nonnegative lattice paths from (0,0) to (4n+3,0) such that slopes of adjacent steps differ by one, assuming zero slope before and after the paths.

Table of values

n a(n)
0 1
1 3
2 16
3 119
4 1070
5 10751
6 116287
7 1326581
8 15756587
9 193181910
10 2429921124
11 31216684816
12 408198225495
13 5418728779290
14 72871393962150
15 991102308239835
16 13613940451015378
17 188650695857473559
18 2634681336798911129
19 37054660535787380825
20 524449965598846642847

List of values

[1, 3, 16, 119, 1070, 10751, 116287, 1326581, 15756587, 193181910, 2429921124, 31216684816, 408198225495, 5418728779290, 72871393962150, 991102308239835, 13613940451015378, 188650695857473559, 2634681336798911129, 37054660535787380825, 524449965598846642847]

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

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