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A009745
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Expansion of e.g.f tan(x)*sinh(sin(x)), even powers only.
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2
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0, 2, 8, 48, 1728, 61184, 3107840, 235484928, 22794670080, 2824580218880, 435346731352064, 81496599519363072, 18232624878580924416, 4803148337754795474944, 1471655716879344564174848
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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)! * (exp(1) - exp(-1)) * (2/Pi)^(2*n+1). - Vaclav Kotesovec, Jan 23 2015
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MATHEMATICA
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nn = 20; Table[(CoefficientList[Series[Sinh[Sin[x]]*Tan[x], {x, 0, 2*nn}], x] * Range[0, 2*nn]!)[[n]], {n, 1, 2*nn+1, 2}] (* Vaclav Kotesovec, Jan 23 2015 *)
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PROG
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(PARI) x='x+O('x^50); v=Vec(serlaplace(tan(x)*sinh(sin(x)))); concat([0], vector(#v\2, n, v[2*n-1])) \\ G. C. Greubel, Feb 12 2018
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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