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A366434
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G.f. A(x) satisfies A(x) = 1 + x * ((1 - x) / A(x))^2.
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7
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1, 1, -4, 16, -84, 496, -3140, 20832, -142932, 1005856, -7220100, 52657392, -389088084, 2906551440, -21914464708, 166548194240, -1274531623764, 9812792232768, -75955668337412, 590742300208848, -4614140648464980, 36178872976542768, -284664427193774916
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) = (-1)^(n-1) * Sum_{k=0..n} binomial(3*k-1,k) * binomial(2*k,n-k) / (3*k-1).
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PROG
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(PARI) a(n) = (-1)^(n-1)*sum(k=0, n, binomial(3*k-1, k)*binomial(2*k, n-k)/(3*k-1));
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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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