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A144649
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Second bisection of A134772.
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2
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0, 14400, 134289792000, 29865588836219136000, 64007711015400701105356800000, 799901135455942846519287494400000000000, 42346525471797343063631567858734790430720000000000, 7611746717262781749937067971966455935937523732684800000000000, 3949387898792061570875758855816554982971495343701121923966566400000000000
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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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a(n) ~ sqrt(Pi) * 2^(18*n + 11) * n^(8*n + 9/2) / (3^(2*n+1) * exp(8*n + 3/4)). - Vaclav Kotesovec, Oct 21 2023
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MATHEMATICA
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A134772[n_]:= ((4*n)!/(24)^n)*Hypergeometric1F1[-n, 1/2-2*n, -3/2];
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PROG
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(Magma)
B:=Binomial; F:=Factorial;
A134772:= func< n | F(4*n)/(24)^n *(&+[B(n, j)*B(2*n, j)*(-6)^j/(F(j)*B(2*j, j)*B(4*n, 2*j)) : j in [0..n]]) >;
(SageMath)
def A134772(n): return (factorial(4*n)/(24)^n)* simplify(hypergeometric([-n], [1/2-2*n], -3/2))
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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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