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.

A333092 a(n) is the n-th order Taylor polynomial (centered at 0) of S(x)^(3*n) evaluated at x = 1, where S(x) = (1 - x - sqrt(1 - 6*x + x^2))/(2*x) is the o.g.f. of the Schröder numbers A006318.

Table of values

n a(n)
0 1
1 7
2 109
3 1951
4 36993
5 724007
6 14457421
7 292732671
8 5987886081
9 123440423047
10 2560421160109
11 53373725431583
12 1117198199782785
13 23465732683090471
14 494330214846965389
15 10440064992542621951
16 220978578227187097601
17 4686426367646858888711
18 99559270036968523118317

List of values

[1, 7, 109, 1951, 36993, 724007, 14457421, 292732671, 5987886081, 123440423047, 2560421160109, 53373725431583, 1117198199782785, 23465732683090471, 494330214846965389, 10440064992542621951, 220978578227187097601, 4686426367646858888711, 99559270036968523118317]