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A233658
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7*binomial(4*n + 7, n)/(4*n + 7).
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5
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1, 7, 49, 357, 2695, 20930, 166257, 1344904, 11042724, 91801255, 771201431, 6536904290, 55838330730, 480197194260, 4154140621425, 36126361733616, 315647802951628, 2769544822393356, 24392874398953060, 215582307059144025, 1911286446370861455, 16993580092566979770, 151491588134469616215
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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=4, 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, where p=4, r=7.
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MATHEMATICA
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Table[7 Binomial[4 n + 7, n]/(4 n + 7), {n, 0, 30}]
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PROG
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(PARI) a(n) = 7*binomial(4*n+7, n)/(4*n+7);
(PARI) {a(n)=local(B=1); for(i=0, n, B=(1+x*B^(4/7))^7+x*O(x^n)); polcoeff(B, n)}
(Magma) [7*Binomial(4*n+7, n)/(4*n+7): n in [0..30]];
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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