cp's OEIS Frontend

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.

A333106 Total number of nodes summed over all nonnegative lattice paths from (0,0) to (n,0) where the allowed steps at (x,y) are (1,v) with v in {-1,0,...,max(y,1)}.

Table of values

n a(n)
0 1
1 2
2 6
3 16
4 45
5 126
6 357
7 1024
8 2979
9 8800
10 26422
11 80688
12 250705
13 792568
14 2548620
15 8331568
16 27667109
17 93241152
18 318569656
19 1102246040
20 3857916552
21 13644697000
22 48716177272
23 175417870080
24 636493447625
25 2325399611652
26 8548381939932
27 31599848465276

List of values

[1, 2, 6, 16, 45, 126, 357, 1024, 2979, 8800, 26422, 80688, 250705, 792568, 2548620, 8331568, 27667109, 93241152, 318569656, 1102246040, 3857916552, 13644697000, 48716177272, 175417870080, 636493447625, 2325399611652, 8548381939932, 31599848465276]