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%I #18 Sep 08 2022 08:46:06
%S 1,6,81,1406,27636,585162,13019909,300138696,7105216833,171717015470,
%T 4219267597578,105085831400550,2647012241261856,67316157557021436,
%U 1726006087183713615,44570883175043934384,1158139943222389790715
%N 6*binomial(11*n+6,n)/(11*n+6).
%C Fuss-Catalan sequence is a(n,p,r) = r*binomial(np+r,n)/(np+r), this is the case p=11, r=6.
%H Vincenzo Librandi, <a href="/A234872/b234872.txt">Table of n, a(n) for n = 0..200</a>
%H 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 Thomas A. Dowling, <a href="http://www.mhhe.com/math/advmath/rosen/r5/instructor/applications/ch07.pdf">Catalan Numbers Chapter 7</a>
%H 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 G.f. satisfies: B(x) = {1 + x*B(x)^(p/r)}^r, with p=11, r=6.
%t Table[6 Binomial[11 n + 6, n]/(11 n + 6), {n, 0, 40}] (* _Vincenzo Librandi_, Jan 01 2014 *)
%o (PARI) a(n) = 6*binomial(11*n+6,n)/(11*n+6);
%o (PARI) {a(n)=local(B=1); for(i=0, n, B=(1+x*B^(11/6))^6+x*O(x^n)); polcoeff(B, n)}
%o (Magma) [6*Binomial(11*n+6,n)/(11*n+6): n in [0..30]]; // _Vincenzo Librandi_, Jan 01 2014
%Y Cf. A230388, A234868, A234869, A234870, A234871, A234873.
%K nonn
%O 0,2
%A _Tim Fulford_, Jan 01 2014
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