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 A052569 E.g.f. 1/((1-x)(1-x^3)). 1
 1, 1, 2, 12, 48, 240, 2160, 15120, 120960, 1451520, 14515200, 159667200, 2395008000, 31135104000, 435891456000, 7846046208000, 125536739328000, 2134124568576000, 44816615940096000, 851515702861824000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Robert Israel, Table of n, a(n) for n = 0..448 INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 512 FORMULA E.g.f.: 1/(-1+x)/(-1+x^3) Recurrence: {a(1)=1, a(0)=1, a(2)=2, (-14*n-n^3-7*n^2-8)*a(n)+(-2-n)*a(n+1)+a(n+3)-a(n+2)=0} (1/3*n+2/3+Sum(1/9*(-1+_alpha)*_alpha^(-1-n), _alpha=RootOf(_Z^2+_Z+1)))*n! a(n) = n!*A008620(n). - R. J. Mathar, Nov 27 2011 MAPLE spec := [S, {S=Prod(Sequence(Prod(Z, Z, Z)), Sequence(Z))}, labeled]: seq(combstruct[count](spec, size=n), n=0..20); # Alternative: f:= gfun:-rectoproc({ a(1)=1, a(0)=1, a(2)=2, (-14*n-n^3-7*n^2-8)*a(n)+(-2-n)*a(n+1)+a(n+3)-a(n+2)=0}, a(n), remember): map(f, [\$0..30]); # Robert Israel, Sep 25 2019 MATHEMATICA With[{nn=20}, CoefficientList[Series[1/((1-x)(1-x^3)), {x, 0, nn}], x]Range[0, nn]!] (* Harvey P. Dale, Aug 25 2012 *) CROSSREFS Sequence in context: A347324 A333728 A354131 * A221663 A232663 A052591 Adjacent sequences: A052566 A052567 A052568 * A052570 A052571 A052572 KEYWORD easy,nonn AUTHOR encyclopedia(AT)pommard.inria.fr, Jan 25 2000 STATUS approved

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Last modified December 3 09:50 EST 2022. Contains 358517 sequences. (Running on oeis4.)