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A234873
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7*binomial(11*n+7,n)/(11*n+7).
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10
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1, 7, 98, 1729, 34300, 730597, 16323468, 377447148, 8956384437, 216859117475, 5336519142108, 133078780790725, 3355661187741408, 85414540549845934, 2191753761503128400, 56636249639625891144, 1472525237190942707955
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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=7.
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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=7.
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MATHEMATICA
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Table[7 Binomial[11 n + 7, n]/(11 n + 7), {n, 0, 30}] (* Vincenzo Librandi, Jan 01 2014 *)
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PROG
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(PARI) a(n) = 7*binomial(11*n+7, n)/(11*n+7);
(PARI) {a(n)=local(B=1); for(i=0, n, B=(1+x*B^(11/7))^7+x*O(x^n)); polcoeff(B, n)}
(Magma) [7*Binomial(11*n+7, n)/(11*n+7): 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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