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A139806 a(n)=a(n-1)+a(n-2)+a(n-3)+2a(n-4), a(0)=1, a(1)=3, a(2)=7, a(3)=15. 1

%I #9 Jun 13 2015 00:52:37

%S 1,3,7,15,27,55,111,223,443,887,1775,3551,7099,14199,28399,56799,

%T 113595,227191,454383,908767,1817531,3635063,7270127,14540255,

%U 29080507,58161015,116322031,232644063,465288123,930576247,1861152495,3722304991,7444609979,14889219959

%N a(n)=a(n-1)+a(n-2)+a(n-3)+2a(n-4), a(0)=1, a(1)=3, a(2)=7, a(3)=15.

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

%F a(n)=-(1/5-2/5*I)*I^n-(1/3)*(-1)^n+(26/15)*2^n-(1/5+2/5*I)*(-I)^n, with n>=0 and I=(-1)^(1/2). - _Paolo P. Lava_, Jun 03 2008

%F G.f. ( -1-2*x-3*x^2-4*x^3 ) / ( (2*x-1)*(1+x)*(x^2+1) ). - R. J. Mathar, Feb 06 2011

%K nonn,easy

%O 0,2

%A _Paul Curtz_, May 23 2008

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Last modified September 23 16:34 EDT 2023. Contains 365554 sequences. (Running on oeis4.)