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 A233669 #29 Sep 08 2022 08:46:06
%S A233669 1,7,56,490,4550,44051,439824,4496388,46834095,495260150,5303177880,
%T A233669 57385471962,626548297648,6893781417320,76362138282400,
%U A233669 850867975145160,9530515916642385,107249427630005661,1211964598880990640,13747501038498835300
%N A233669 a(n) = 7*binomial(5*n+7, n)/(5*n+7).
%C A233669 Fuss-Catalan sequence is a(n,p,r) = r*binomial(np+r,n)/(np+r), this is the case p=5, r=7.
%H A233669 Vincenzo Librandi, <a href="/A233669/b233669.txt">Table of n, a(n) for n = 0..200</a>
%H A233669 J-C. Aval, <a href="http://arxiv.org/pdf/0711.0906v1.pdf">Multivariate Fuss-Catalan Numbers</a>, arXiv:0711.0906v1, Discrete Math., 308 (2008), 4660-4669.
%H A233669 Thomas A. Dowling, <a href="http://www.mhhe.com/math/advmath/rosen/r5/instructor/applications/ch07.pdf">Catalan Numbers Chapter 7</a>
%H A233669 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.
%F A233669 G.f. satisfies: B(x) = {1 + x*B(x)^(p/r)}^r, here p=5, r=7.
%F A233669 From _Ilya Gutkovskiy_, Sep 14 2018: (Start)
%F A233669 E.g.f.: 4F4(7/5,8/5,9/5,11/5; 1,9/4,5/2,11/4; 3125*x/256).
%F A233669 a(n) ~ 7*5^(5*n+13/2)/(sqrt(Pi)*2^(8*n+31/2)*n^(3/2)). (End)
%t A233669 Table[7 Binomial[5 n + 7, n]/(5 n + 7), {n, 0, 30}]
%o A233669 (PARI) a(n) = 7*binomial(5*n+7,n)/(5*n+7);
%o A233669 (PARI) {a(n)=local(B=1); for(i=0, n, B=(1+x*B^(5/7))^7+x*O(x^n)); polcoeff(B, n)}
%o A233669 (Magma) [7*Binomial(5*n+7,n)/(5*n+7): n in [0..30]];
%Y A233669 Cf. A000108, A002294, A118969, A143546, A118971, A233668, A233736, A233737, A233738.
%K A233669 nonn,easy
%O A233669 0,2
%A A233669 _Tim Fulford_, Dec 14 2013