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A285018
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Denominator of (-1/3)^n*sqrt(Pi)/(Gamma(1/2 - n)*Gamma(1 + n)).
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3
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1, 6, 24, 432, 10368, 6912, 248832, 1492992, 23887872, 1289945088, 15479341056, 30958682112, 2229025112064, 13374150672384, 5944066965504, 106993205379072, 10271347716390912, 20542695432781824, 2218611106740436992, 13311666640442621952, 106493333123540975616
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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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A285019(n)/a(n) = (-1/3)^n*sqrt(Pi)/(Gamma(1/2 - n)*Gamma(1 + n)).
Sum_{k>=0} A285019(k)/a(k) = sqrt(3/2).
Sum_{k>=0} (-1)^k*A285019(k)/a(k) = sqrt(3)/2.
Sum_{k>=0} (-1)^(k+1)*A285019(k)/a(k) = -sqrt(3)/2.
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MAPLE
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P:=proc(q) denom((-1/3)^q*sqrt(Pi)/(GAMMA(1/2-q)*GAMMA(1+q))); end:
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MATHEMATICA
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Denominator[Table[(-1/3)^n*Sqrt[Pi]/(Gamma[1/2-n]*Gamma[1+n]), {n, 0, 25}]]
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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STATUS
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approved
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