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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.

A333678 Total area under 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 2
4 7
5 22
6 64
7 196
8 574
9 1762
10 5379
11 16378
12 49380
13 148892
14 449004
15 1353718
16 4076150
17 12267160
18 36903433
19 110979048
20 333628384
21 1002722482
22 3013085711
23 9052404522
24 27192329061
25 81671691634
26 245271884478
27 736513920180
28 2211445194899
29 6639545054310

List of values

[0, 0, 0, 2, 7, 22, 64, 196, 574, 1762, 5379, 16378, 49380, 148892, 449004, 1353718, 4076150, 12267160, 36903433, 110979048, 333628384, 1002722482, 3013085711, 9052404522, 27192329061, 81671691634, 245271884478, 736513920180, 2211445194899, 6639545054310]

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

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