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A009458
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Expansion of sin(log(1+x))*log(1+x).
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1
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0, 0, 2, -6, 18, -60, 214, -714, 984, 23040, -468880, 7113040, -102747560, 1501609200, -22698373400, 358125772200, -5919450952000, 102619545932800, -1865622384074400, 35539903321740000, -708618759088892000, 14768814409403208000
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) = sum(k=1..n/2, ((-1)^(k-1)*2*k*stirling1(n,2*k))). - Vladimir Kruchinin, Jun 28 2011
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MATHEMATICA
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Sin[ Log[ 1+x ] ]*Log[ 1+x ]
CoefficientList[Series[Sin[Log[1+x]]*Log[1+x], {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Jan 24 2015 *)
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PROG
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(Maxima) a(n):=sum(((-1)^(k-1)*2*k*stirling1(n, 2*k)), k, 1, n/2); /* Vladimir Kruchinin, Jun 28 2011 */
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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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