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E.g.f. (1-x)/(1-x-2x^3).
0

%I #16 Apr 18 2017 07:03:55

%S 1,0,0,12,48,240,4320,50400,564480,9434880,166924800,2953843200,

%T 60354201600,1357490534400,31907254579200,808142759424000,

%U 22052620541952000,635257746579456000,19347973338710016000

%N E.g.f. (1-x)/(1-x-2x^3).

%H INRIA Algorithms Project, <a href="http://ecs.inria.fr/services/structure?nbr=546">Encyclopedia of Combinatorial Structures 546</a>

%F E.g.f.: (-1+x)/(-1+x+2*x^3)

%F Recurrence: {a(1)=0, a(0)=1, a(2)=0, (-12*n^2-22*n-12-2*n^3)*a(n) +(-n-3)*a(n+2) +a(n+3)=0}

%F Sum(-1/29*(1+3*_alpha^2-10*_alpha)*_alpha^(-1-n), _alpha=RootOf(-1+_Z+2*_Z^3))*n!

%F a(n)= n!*A052537(n). - _R. J. Mathar_, Nov 27 2011

%p spec := [S,{S=Sequence(Prod(Z,Z,Sequence(Z),Union(Z,Z)))},labeled]: seq(combstruct[count](spec,size=n), n=0..20);

%K easy,nonn

%O 0,4

%A encyclopedia(AT)pommard.inria.fr, Jan 25 2000