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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.

A333647 Number of 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 1
2 1
3 2
4 4
5 8
6 16
7 34
8 74
9 169
10 397
11 953
12 2319
13 5732
14 14370
15 36466
16 93468
17 241767
18 630499
19 1656372
20 4380128
21 11652459
22 31168689
23 83788315
24 226272531
25 613632359
26 1670604607
27 4564607998
28 12513715526
29 34412992018
30 94912212872
31 262484672621
32 727770127583

List of values

[1, 1, 1, 2, 4, 8, 16, 34, 74, 169, 397, 953, 2319, 5732, 14370, 36466, 93468, 241767, 630499, 1656372, 4380128, 11652459, 31168689, 83788315, 226272531, 613632359, 1670604607, 4564607998, 12513715526, 34412992018, 94912212872, 262484672621, 727770127583]

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

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