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.

A333091 a(n) is the n-th order Taylor polynomial (centered at 0) of S(x)^(2*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 5
2 57
3 761
4 10817
5 159005
6 2386857
7 36348401
8 559362561
9 8676917429
10 135445348057
11 2125030235113
12 33479772021953
13 529326516063181
14 8393856020704841
15 133449301759137761
16 2126391547960594433
17 33948765589280671589
18 542950968447834265209
19 8697032976559212532953

List of values

[1, 5, 57, 761, 10817, 159005, 2386857, 36348401, 559362561, 8676917429, 135445348057, 2125030235113, 33479772021953, 529326516063181, 8393856020704841, 133449301759137761, 2126391547960594433, 33948765589280671589, 542950968447834265209, 8697032976559212532953]