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A009371
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Expansion of log(1+tan(x))*exp(x).
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4
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0, 1, 1, 4, 0, 45, -155, 1748, -13496, 151169, -1682191, 22018412, -307464872, 4746159613, -78744546907, 1410956472396, -27026759291728, 552443153007777, -11988735452427903, 275451486233018100, -6677966707663119664
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OFFSET
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0,4
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LINKS
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FORMULA
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a(n) ~ (n-1)! * (-1)^(n+1) * exp(-Pi/4) * (4/Pi)^n. - Vaclav Kotesovec, Jan 23 2015
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MATHEMATICA
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Log[ 1+Tan[ x ] ]*Exp[ x ]
CoefficientList[Series[E^x*Log[1 + Tan[x]], {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Jan 23 2015 *)
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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