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A234508
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5*binomial(9*n+5,n)/(9*n+5).
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8
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1, 5, 55, 775, 12350, 211876, 3818430, 71282640, 1366368375, 26735839650, 531838637759, 10723307329700, 218658647805780, 4501362056183300, 93426735902060000, 1952884185072496992, 41074876852203972645, 868669222741822476975, 18460669540059117038250, 394033629095915025876750, 8443512680148379948569910
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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), where p=9, 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, where p=9, r=5.
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MATHEMATICA
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Table[5 Binomial[9 n + 5, n]/(9 n + 5), {n, 0, 30}]
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PROG
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(PARI) a(n) = 5*binomial(9*n+5, n)/(9*n+5);
(PARI) {a(n)=local(B=1); for(i=0, n, B=(1+x*B^(9/5))^5+x*O(x^n)); polcoeff(B, n)}
(Magma) [5*Binomial(9*n+5, n)/(9*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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