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A366363
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G.f. satisfies A(x) = (1 + x/A(x))/(1 - x).
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11
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1, 2, 0, 4, -8, 32, -112, 432, -1696, 6848, -28160, 117632, -497664, 2128128, -9183488, 39940864, -174897664, 770452480, -3411959808, 15181264896, -67833868288, 304256253952, -1369404661760, 6182858317824, -27995941060608, 127100310290432, -578433619525632
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: A(x) = -2*x / (1-sqrt(1+4*x*(1-x))).
a(n) = (-1)^(n-1) * Sum_{k=0..n} binomial(2*k-1,k) * binomial(k-1,n-k)/(2*k-1).
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MATHEMATICA
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A366363[n_]:=(-1)^(n-1)Sum[Binomial[2k-1, k]Binomial[k-1, n-k]/(2k-1), {k, 0, n}];
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PROG
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(PARI) a(n) = (-1)^(n-1)*sum(k=0, n, binomial(2*k-1, k)*binomial(k-1, n-k)/(2*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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