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A019267
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From an asymptotic expansion for Pi.
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0
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1, 1, 1, -1, -5, 23, 53, -593, -5165, 110123, 231743, -8113223, -33497425, 1744764499, 3563384029, -258115578289, -4191097954685, 402402297433523, 813628574192123, -99925014024526283, -403078530716889835, 61606956815080291849
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OFFSET
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0,5
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REFERENCES
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R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, Reading, MA, 1990, p. 481.
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LINKS
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MAPLE
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v := asympt(16^n/(2*n)!^2*n!^4/n, n, 24); seq(numer(op(i, v)), i=1..nops(v));
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MATHEMATICA
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nmax = 20; Numerator[CoefficientList[Series[Binomial[2 n, n]^2/(2^(4 n)/Pi/n), {n, Infinity, nmax}], 1/n]]*(-1)^Range[0, nmax] (* Vaclav Kotesovec, Sep 27 2019 *)
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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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