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A009338
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Expansion of log(1+sin(x)*cos(x)).
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0
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0, 1, -1, -2, 10, -40, 104, 208, -6320, 64640, -436096, 986368, 29459200, -652487680, 8309679104, -60911593472, -294946887680, 20973645824000, -456801564983296, 6185783347314688, -27026064538664960, -1429441147870904320
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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) * 2^(2*n+1) * cos(n*arctan(2*log(2+sqrt(3))/Pi)) / (Pi^2 + 4*log(2+sqrt(3))^2)^(n/2). - Vaclav Kotesovec, Jan 23 2015
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MATHEMATICA
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Log[ 1+Sin[ x ]*Cos[ x ] ]
CoefficientList[Series[Log[1 + Cos[x]*Sin[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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