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A009448 E.g.f. sin(x*exp(x)). 7
0, 1, 2, 2, -8, -84, -504, -2304, -6656, 15760, 484000, 5348320, 44393856, 288642368, 1137006976, -5372233216, -195241910272, -2961479980800, -34259767672320, -320473550808576, -2158264400250880, -1727938748171264, 278774033845987328 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
a(n) = Sum_{j=0..(n-1)/2} binomial(n,2*j+1)*(2*j+1)^(n-2*j-1)*(-1)^j. - Vladimir Kruchinin, Jun 10 2011
MATHEMATICA
With[{nn=30}, CoefficientList[Series[Sin[x Exp[x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Mar 17 2012 *)
PROG
(Maxima)
a(n):=sum(binomial(n, 2*j+1)*(2*j+1)^(n-2*j-1)*(-1)^j, j, 0, (n-1)/2); /* Vladimir Kruchinin, Jun 10 2011 */
CROSSREFS
Sequence in context: A297010 A012413 A012659 * A012410 A295382 A123642
KEYWORD
sign,easy
AUTHOR
EXTENSIONS
Extended with signs by Olivier Gérard, Mar 15 1997
STATUS
approved

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)