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A012467
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sech(arctan(x)^2) = 1 - 12/4!*x^4 + 480/6!*x^6 - 21168/8!*x^8 + ...
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1
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1, 0, -12, 480, -21168, 741120, 61942848, -29951061504, 8015861467392, -1745546459848704, 215844160641143808, 91751419512905687040, -109687232118939992862720, 71900040403600384794624000
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OFFSET
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0,3
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LINKS
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MATHEMATICA
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With[{nn=30}, Take[CoefficientList[Series[Sech[ArcTan[x]^2], {x, 0, nn}] , x] Range[0, nn]!, {1, -1, 2}]] (* Harvey P. Dale, Apr 30 2012 *)
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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Patrick Demichel (patrick.demichel(AT)hp.com)
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EXTENSIONS
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Definition corrected by Harvey P. Dale, Apr 30 2012
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STATUS
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approved
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