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A052903 Expansion of (1-x^3)/(1-2x-x^3+x^4). 0

%I

%S 1,2,4,8,17,36,76,161,341,722,1529,3238,6857,14521,30751,65121,137906,

%T 292042,618454,1309693,2773522,5873456,12438151,26340131,55780196,

%U 118125087,250152154,529744373,1121833637,2375694341,5030980901

%N Expansion of (1-x^3)/(1-2x-x^3+x^4).

%C Partial sums of A052908. - R. J. Mathar, Nov 28 2011

%H INRIA Algorithms Project, <a href="http://ecs.inria.fr/services/structure?nbr=881">Encyclopedia of Combinatorial Structures 881</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (2,0,1,-1)

%F G.f.: -(-1+x^3)/(1-2*x-x^3+x^4)

%F Recurrence: {a(0)=1, a(2)=4, a(1)=2, a(3)=8, a(n)-a(n+1)-2*a(n+3)+a(n+4)=0}

%F Sum(-1/643*(-222-40*_alpha-93*_alpha^2+54*_alpha^3)*_alpha^(-1-n), _alpha=RootOf(1-2*_Z-_Z^3+_Z^4))

%F a(n) = A052908(n)-A052908(n-3), n>3. - _R. J. Mathar_, Apr 26 2017

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

%K easy,nonn

%O 0,2

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

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Last modified October 16 21:10 EDT 2019. Contains 328103 sequences. (Running on oeis4.)