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.
%I A234462 #32 Sep 08 2022 08:46:06
%S A234462 1,3,27,325,4488,67158,1059380,17346582,292046040,5023824887,
%T A234462 87915626370,1560176040519,28011228029512,507874087572600,
%U A234462 9286024289123268,171026036066072924,3169969149156895800,59085490354010508600,1106795192170066119435
%N A234462 a(n) = 3*binomial(8*n+3,n)/(8*n+3).
%C A234462 Fuss-Catalan sequence is a(n,p,r) = r*binomial(n*p + r, n)/(n*p + r), this is the case p = 8, r = 3.
%H A234462 Vincenzo Librandi, <a href="/A234462/b234462.txt">Table of n, a(n) for n = 0..200</a>
%H A234462 J-C. Aval, <a href="http://arxiv.org/abs/0711.0906">Multivariate Fuss-Catalan Numbers</a>, arXiv:0711.0906 [math.CO], 2007.
%H A234462 J-C. Aval, <a href="http://dx.doi.org/10.1016/j.disc.2007.08.100">Multivariate Fuss-Catalan Numbers</a>, Discrete Math., 308 (2008), 4660-4669.
%H A234462 Thomas A. Dowling, <a href="http://www.mhhe.com/math/advmath/rosen/r5/instructor/applications/ch07.pdf">Catalan Numbers Chapter 7</a>
%H A234462 Clemens Heuberger, Sarah J. Selkirk, and Stephan Wagner, <a href="https://arxiv.org/abs/2204.14023">Enumeration of Generalized Dyck Paths Based on the Height of Down-Steps Modulo k</a>, arXiv:2204.14023 [math.CO], 2022.
%H A234462 Wojciech Mlotkowski, <a href="http://www.math.uiuc.edu/documenta/vol-15/28.pdf">Fuss-Catalan Numbers in Noncommutative Probability</a>, Docum. Mathm. 15: 939-955.
%H A234462 Wikipedia, <a href="https://en.wikipedia.org/wiki/Fuss-Catalan_number">Fuss-Catalan number</a>
%F A234462 G.f. satisfies: A(x) = {1 + x*A(x)^(p/r)}^r, where p = 8, r = 3.
%F A234462 A(x^2) = 1/x * series reversion (x/C(x^2)^3), where C(x) = (1 - sqrt(1 - 4*x))/(2*x) is the o.g.f. for the Catalan numbers A000108. A(x)^(1/3) is the o.g.f. for A007556. - _Peter Bala_, Oct 14 2015
%t A234462 Table[3 Binomial[8 n + 3, n]/(8 n + 3), {n, 0, 40}] (* _Vincenzo Librandi_, Dec 26 2013 *)
%o A234462 (PARI) a(n) = 3/(8*n+3)*binomial(8*n+3,n);
%o A234462 (PARI) {a(n)=local(B=1); for(i=0, n, B=(1+x*B^(8/3))^3+x*O(x^n)); polcoeff(B, n)}
%o A234462 (Magma) [3*Binomial(8*n+3, n)/(8*n+3): n in [0..30]]; // _Vincenzo Librandi_, Dec 26 2013
%Y A234462 Cf. A000108, A007556, A234461, A234463, A234464, A234465, A234466, A234467, A230390.
%K A234462 nonn,easy
%O A234462 0,2
%A A234462 _Tim Fulford_, Dec 26 2013