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%I #18 Sep 08 2022 08:46:06
%S 1,7,98,1729,34300,730597,16323468,377447148,8956384437,216859117475,
%T 5336519142108,133078780790725,3355661187741408,85414540549845934,
%U 2191753761503128400,56636249639625891144,1472525237190942707955
%N 7*binomial(11*n+7,n)/(11*n+7).
%C Fuss-Catalan sequence is a(n,p,r) = r*binomial(np+r,n)/(np+r), this is the case p=11, r=7.
%H Vincenzo Librandi, <a href="/A234873/b234873.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=7.
%t Table[7 Binomial[11 n + 7, n]/(11 n + 7), {n, 0, 30}] (* _Vincenzo Librandi_, Jan 01 2014 *)
%o (PARI) a(n) = 7*binomial(11*n+7,n)/(11*n+7);
%o (PARI) {a(n)=local(B=1); for(i=0, n, B=(1+x*B^(11/7))^7+x*O(x^n)); polcoeff(B, n)}
%o (Magma) [7*Binomial(11*n+7,n)/(11*n+7): n in [0..30]]; // _Vincenzo Librandi_, Jan 01 2014
%Y Cf. A230388, A234868, A234869, A234870, A234871, A234872.
%K nonn
%O 0,2
%A _Tim Fulford_, Jan 01 2014
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