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A234872
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6*binomial(11*n+6,n)/(11*n+6).
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9
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1, 6, 81, 1406, 27636, 585162, 13019909, 300138696, 7105216833, 171717015470, 4219267597578, 105085831400550, 2647012241261856, 67316157557021436, 1726006087183713615, 44570883175043934384, 1158139943222389790715
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OFFSET
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0,2
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COMMENTS
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Fuss-Catalan sequence is a(n,p,r) = r*binomial(np+r,n)/(np+r), this is the case p=11, r=6.
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LINKS
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FORMULA
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G.f. satisfies: B(x) = {1 + x*B(x)^(p/r)}^r, with p=11, r=6.
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MATHEMATICA
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Table[6 Binomial[11 n + 6, n]/(11 n + 6), {n, 0, 40}] (* Vincenzo Librandi, Jan 01 2014 *)
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PROG
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(PARI) a(n) = 6*binomial(11*n+6, n)/(11*n+6);
(PARI) {a(n)=local(B=1); for(i=0, n, B=(1+x*B^(11/6))^6+x*O(x^n)); polcoeff(B, n)}
(Magma) [6*Binomial(11*n+6, n)/(11*n+6): n in [0..30]]; // Vincenzo Librandi, Jan 01 2014
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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