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A364738
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G.f. satisfies A(x) = 1 + x*A(x) / (1 + x*A(x)^5).
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5
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1, 1, 0, -5, -10, 40, 245, -26, -4375, -11410, 53040, 377850, -12320, -7988194, -23011625, 106662595, 824671575, 64095550, -18490968680, -57052839001, 254513058375, 2098532784575, 419490572800, -48205987947600, -157458581103395, 666628546612606, 5824573247731250
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OFFSET
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0,4
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LINKS
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FORMULA
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a(n) = (1/n) * Sum_{k=0..n-1} (-1)^k * binomial(n,k) * binomial(n+4*k,n-1-k) for n > 0.
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PROG
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(PARI) a(n) = if(n==0, 1, sum(k=0, n-1, (-1)^k*binomial(n, k)*binomial(n+4*k, n-1-k))/n);
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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