OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (3,1,-5,-1,1).
FORMULA
G.f.: (1 - 5*x^2 - 2*x^3 + x^4)/((x + 1)*(1 - 3*x + x^2)*(1 - x - x^2)).
a(n) = 3*a(n-1) + a(n-2) - 5*a(n-3) - a(n-4) + a(n-5).
5*a(n) = (-1)^(n+1) +5*F(n+2) + A002878(n). - R. J. Mathar, Nov 14 2019
MATHEMATICA
Table[Fibonacci[n] Fibonacci[n+1] + Fibonacci[n+2], {n, 0, 30}]
PROG
(Magma) [Fibonacci(n)*Fibonacci(n+1)+Fibonacci(n+2): n in [0..30]];
(GAP) List([0..35], n -> Fibonacci(n)*Fibonacci(n+1)+Fibonacci(n+2)); # Muniru A Asiru, Jun 06 2018
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Jun 05 2018
STATUS
approved