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A052665
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a(0)=0, for n >= 1, a(n) = (2^(n-1)-1)*n!.
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0
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0, 0, 2, 18, 168, 1800, 22320, 317520, 5120640, 92534400, 1854316800, 40834886400, 980516275200, 25499650176000, 714077383219200, 21423629170944000, 685577056260096000, 23309975600271360000
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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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E.g.f.: x^2/((1-x)*(1-2*x)).
D-finite Recurrence: {a(1)=0, a(0)=0, a(2)=2, (2*n^2+6*n+4)*a(n)+(-6-3*n)*a(n+1)+a(n+2)}
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MAPLE
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spec := [S, {S=Prod(Z, Z, Sequence(Z), Sequence(Union(Z, Z)))}, labeled]: seq(combstruct[count](spec, size=n), n=0..20);
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MATHEMATICA
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Join[{0}, Table[(2^(n-1)-1)n!, {n, 20}]] (* or *) With[{nn=20}, CoefficientList[ Series[x^2/((1-x)(1-2x)), {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Aug 29 2021 *)
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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encyclopedia(AT)pommard.inria.fr, Jan 25 2000
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STATUS
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approved
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