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A292756
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Expansion of e.g.f. exp(x)*(tan(x)+sec(x))^2.
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3
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1, 3, 9, 29, 105, 433, 2029, 10709, 63025, 409713, 2917749, 22599389, 189200745, 1702839193, 16397919469, 168248900069, 1832540103265, 21118133619873, 256725609081189, 3283461599832749, 44074814323890585, 619564244562907753, 9102144892897546909, 139495284063955397429
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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 + 9/2) * n^(n + 3/2) / (Pi^(n + 3/2) * exp(n - Pi/2)). - Vaclav Kotesovec, Jun 02 2019
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MATHEMATICA
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nmax = 20; CoefficientList[Series[Exp[x]*(Tan[x]+Sec[x])^2, {x, 0, nmax}], x] * Range[0, nmax]! (* Vaclav Kotesovec, Jun 02 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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