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%I #22 Jul 07 2013 23:47:13
%S 1,9,28,133,539,2322,9773,41501,175636,744273,3152359,13354306,
%T 56568617,239630337,1015087436,4299984173,18215017507,77160064914,
%U 326855259829,1384581132277,5865179743556,24845300179929,105246380344463,445830821750018,1888569667033489
%N Fibonacci(n)^3 + Fibonacci(n+2)^3
%F a(n) = 3a(n-1)+6a(n-2)-3a(n-3)-a(n-4)
%F G.f.: (1+6x-5x^2-2x^3)/(1-3x-6x^2+3x^3+x^4)= (2x^2+7x+1)(1-x)/((x^2-x-1)(x^2+4x-1))
%e a(2) = Fibonacci(2)^3 + Fibonacci(4)^3 = 1^3 + 2^3 = 9
%t Table[Fibonacci[n]^3 + Fibonacci[n+2]^3,{n,0,50}]
%o (PARI) a(n) = fibonacci(n)^3+fibonacci(n+2)^3; \\ _Joerg Arndt_, Jul 07 2013
%Y Cf. A000045 (Fibonacci), A056570 (Fibonacci^3).
%Y Cf. A110224 (Fib(n)^3 + Fib(n+1)^3).
%K nonn
%O 0,2
%A _Ron Knott_, Jun 27 2013