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A191011
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E.g.f. log(1 + sin(arctan(x))).
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0
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0, 1, -1, -1, 6, 9, -120, -225, 5040, 11025, -362880, -893025, 39916800, 108056025, -6227020800, -18261468225, 1307674368000, 4108830350625, -355687428096000, -1187451971330625, 121645100408832000
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OFFSET
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0,5
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LINKS
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Table of n, a(n) for n=0..20.
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FORMULA
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a(n) = n!*sum(m=0..(n-1)/2, binomial((n-2)/2,m)*(-1)^(n-m-1)/(n-2*m)), n>0.
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MATHEMATICA
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With[{nn=30}, CoefficientList[Series[Log[1+Sin[ArcTan[x]]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Sep 19 2011 *)
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PROG
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(Maxima)
a(n):=n!*sum(binomial((n-2)/2, m)*(-1)^(n-m-1)/(n-2*m), m, 0, (n-1)/2);
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CROSSREFS
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Sequence in context: A103107 A121233 A156180 * A053490 A265383 A264375
Adjacent sequences: A191008 A191009 A191010 * A191012 A191013 A191014
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KEYWORD
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sign
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AUTHOR
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Vladimir Kruchinin, Jun 16 2011
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STATUS
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approved
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