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A234871
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a(n) = 5*binomial(11*n+5,n)/(11*n+5).
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9
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1, 5, 65, 1110, 21620, 455126, 10085845, 231814440, 5475346305, 132090011900, 3240886705386, 80621405042750, 2028732009726240, 51548408940061460, 1320738410528418175, 34083616545621832176, 885134579074202142075, 23114512490211287029665
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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=5.
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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=5.
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MATHEMATICA
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Table[5 Binomial[11 n + 5, n]/(11 n + 5), {n, 0, 40}] (* Vincenzo Librandi, Jan 01 2014 *)
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PROG
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(PARI) a(n) = 5*binomial(11*n+5, n)/(11*n+5);
(PARI) {a(n)=local(B=1); for(i=0, n, B=(1+x*B^(11/5))^5+x*O(x^n)); polcoeff(B, n)}
(Magma) [5*Binomial(11*n+5, n)/(11*n+5): 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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