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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.

A333680 Total number of nodes summed over 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 1
1 2
2 3
3 8
4 20
5 48
6 112
7 272
8 666
9 1690
10 4367
11 11436
12 30147
13 80248
14 215550
15 583456
16 1588956
17 4351806
18 11979481
19 33127440
20 91982688
21 256354098
22 716879847
23 2010919560
24 5656813275
25 15954441334
26 45106324389
27 127809023944
28 362897750254
29 1032389760540
30 2942278599032

List of values

[1, 2, 3, 8, 20, 48, 112, 272, 666, 1690, 4367, 11436, 30147, 80248, 215550, 583456, 1588956, 4351806, 11979481, 33127440, 91982688, 256354098, 716879847, 2010919560, 5656813275, 15954441334, 45106324389, 127809023944, 362897750254, 1032389760540, 2942278599032]

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

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