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A329928
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a(n) = (Pi/2)*(2*n+1)!*binomial(2*n+1, (2*n+1)/2).
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0
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2, 32, 2048, 294912, 75497472, 30198988800, 17394617548800, 13637380158259200, 13964677282057420800, 18098221757546417356800, 28957154812074267770880000, 56061051716175782404423680000, 129164663154069002659792158720000, 349261249168602583192077997178880000
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OFFSET
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0,1
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LINKS
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FORMULA
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a(n) = 2^(4*n + 1)*Gamma(n + 1)^2.
a(n) = a(n-1)*(4*n)^2 for n > 0.
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MAPLE
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a := proc(n) option remember; if n = 0 then 2 else 16*a(n-1)*n^2 fi end:
seq(a(n), n = 0..13);
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PROG
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(PARI) \p100; binom(n, k)=gamma(n+1)/(gamma(k+1)*gamma(n-k+1));
for(n=0, 14, print1(round((Pi/2)*(2*n+1)!*binom(2*n+1, (2*n+1)/2)), ", ")) \\ Hugo Pfoertner, Dec 05 2019
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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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