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A052653 E.g.f. (1-2x^2)/(1-x-2x^2). 0
1, 1, 2, 18, 120, 1320, 15120, 216720, 3427200, 62052480, 1237420800, 27263174400, 653837184000, 17005993804800, 476080648243200, 14283727121664000, 457058345103360000, 15540339420942336000 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
E.g.f.: (-1+2*x^2)/(-1+x+2*x^2)
Recurrence: {a(1)=1, a(0)=1, a(2)=2, (-2*n^2-6*n-4)*a(n)+(-2-n)*a(n+1)+a(n+2)=0}
Sum(-1/9*(-2+_alpha)*_alpha^(-1-n), _alpha=RootOf(-1+_Z+2*_Z^2))*n!
a(n) = n!*A001045(n), n>0. - R. J. Mathar, Nov 27 2011
MAPLE
spec := [S, {S=Sequence(Prod(Z, Sequence(Prod(Z, Union(Z, Z)))))}, labeled]: seq(combstruct[count](spec, size=n), n=0..20);
MATHEMATICA
With[{nn=20}, CoefficientList[Series[(1-2x^2)/(1-x-2x^2), {x, 0, nn}], x]Range[0, nn]!] (* Harvey P. Dale, Feb 13 2013 *)
CROSSREFS
Sequence in context: A058052 A119578 A052610 * A342124 A289830 A361304
KEYWORD
easy,nonn
AUTHOR
encyclopedia(AT)pommard.inria.fr, Jan 25 2000
STATUS
approved

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Last modified February 23 18:28 EST 2024. Contains 370283 sequences. (Running on oeis4.)