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A235338
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8*binomial(11*n+8,n)/(11*n+8).
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3
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1, 8, 116, 2080, 41650, 892552, 20027112, 464550336, 11050084695, 268070745800, 6607118937848, 164979021222400, 4164615224071926, 106105019316578800, 2724883054841727200, 70462458864489354624, 1833143662625459289495
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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=8.
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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, here p=11, r=8.
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MATHEMATICA
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Table[8 Binomial[11 n + 8, n]/(11 n + 8), {n, 0, 30}]
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PROG
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(PARI) a(n) = 8*binomial(11*n+8, n)/(11*n+8);
(PARI) {a(n)=local(B=1); for(i=0, n, B=(1+x*B^(11/8))^8+x*O(x^n)); polcoeff(B, n)}
(Magma) [8*Binomial(11*n+8, n)/(11*n+8): 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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