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A230390
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5*binomial(8*n+10,n)/(4*n+5).
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7
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1, 10, 125, 1760, 26650, 423752, 6978510, 117998400, 2036685765, 35738059500, 635627275767, 11433154297760, 207621482341000, 3801296492623560, 70092637731997100, 1300500163756675200, 24262157874835233000, 454847339247972377850, 8564398318045559667475
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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=8, r=10.
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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=8, r=10.
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MATHEMATICA
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Table[5 Binomial[8 n + 10, n]/(4 n + 5), {n, 0, 30}]
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PROG
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(PARI) a(n) = 5*binomial(8*n+10, n)/(4*n+5);
(PARI) {a(n)=local(B=1); for(i=0, n, B=(1+x*B^(4/5))^10+x*O(x^n)); polcoeff(B, n)}
(Magma) [5*Binomial(8*n+10, n)/(4*n+5): n in [0..30]];
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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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