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A009458
Expansion of sin(log(1+x))*log(1+x).
1
0, 0, 2, -6, 18, -60, 214, -714, 984, 23040, -468880, 7113040, -102747560, 1501609200, -22698373400, 358125772200, -5919450952000, 102619545932800, -1865622384074400, 35539903321740000, -708618759088892000, 14768814409403208000
OFFSET
0,3
FORMULA
a(n) = sum(k=1..n/2, ((-1)^(k-1)*2*k*stirling1(n,2*k))). - Vladimir Kruchinin, Jun 28 2011
MATHEMATICA
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 *)
PROG
(Maxima) a(n):=sum(((-1)^(k-1)*2*k*stirling1(n, 2*k)), k, 1, n/2); /* Vladimir Kruchinin, Jun 28 2011 */
CROSSREFS
Cf. A024332.
Sequence in context: A150045 A191280 A150046 * A357693 A150047 A150048
KEYWORD
sign,easy
AUTHOR
EXTENSIONS
Extended with signs by Olivier Gérard, Mar 15 1997
STATUS
approved