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%I #19 Apr 30 2014 01:34:23
%S 0,1,3,10,29,81,220,589,1563,4126,10857,28513,74792,196041,513619,
%T 1345282,3522981,9224881,24153636,63239221,165569195,433476726,
%U 1134874513,2971168705,7778667024,20364889681,53316094755,139583544634
%N a(n) = sum of n Fibonacci numbers starting from F(n).
%F a(n) = Fibonacci(2*n+1)-Fibonacci(n+1). - _Vladeta Jovovic_, Jul 17 2004
%F G.f.: x*(1-x+x^2)/((1-3*x+x^2)*(1-x-x^2)). a(n)=F(2n+1)-F(n+1). - Mario Catalani (mario.catalani(AT)unito.it), Jul 19 2004
%F Binomial transform of A005013. - _Michael Somos_, Apr 13 2012
%e a(4)= F(4) + F(5) + F(6) + F(7) = 3 + 5 + 8 + 13 = 29.
%e x + 3*x^2 + 10*x^3 + 29*x^4 + 81*x^5 + 220*x^6 + 589*x^7 + ...
%o (PARI) a(n)=sum(k=n,2*n-1,fibonacci(k))
%o (Maxima) makelist(fib(2*n+3)-fib(n+2),n,0,20); [Emanuele Munarini, Mar 29 2012]
%Y Cf. A005013.
%K nonn
%O 0,3
%A _Amarnath Murthy_, Jul 16 2004
%E Extended by _Ray Chandler_, Jul 17 2004
%E a(0)=0 by _Michael Somos_, Apr 13 2012
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