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.

A333090 a(n) is equal to the n-th order Taylor polynomial (centered at 0) of S(x)^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 3
2 21
3 183
4 1729
5 17003
6 171237
7 1752047
8 18130433
9 189218451
10 1987916021
11 20996253479
12 222730436161
13 2371369720827
14 25325636818629
15 271189884041183
16 2910628489408513
17 31302328583021091
18 337241582882175189
19 3639109029230457751
20 39324814984207649729

List of values

[1, 3, 21, 183, 1729, 17003, 171237, 1752047, 18130433, 189218451, 1987916021, 20996253479, 222730436161, 2371369720827, 25325636818629, 271189884041183, 2910628489408513, 31302328583021091, 337241582882175189, 3639109029230457751, 39324814984207649729]