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A335618
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E.g.f.: Sum_{n>=0} Product_{k=1..n} tan(2*k*x).
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1
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1, 2, 16, 304, 10496, 568832, 44486656, 4742354944, 660908343296, 116642430451712, 25425572550148096, 6708171660023824384, 2106760489114215120896, 776654121137653931835392, 332101031506139993274843136, 163037618505293422657351450624, 91075662529714266445615040823296
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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) ~ 2^(n - 1/2) * n!^2 / G^(n+1), where G is the Catalan constant A006752.
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MATHEMATICA
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nmax = 20; CoefficientList[Series[Sum[Product[Tan[2*k*x], {k, 1, n}], {n, 0, nmax}], {x, 0, nmax}], x] * Range[0, nmax]!
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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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