OFFSET
1,2
REFERENCES
Thomas Koshy, Fibonacci and Lucas Numbers and Applications. Wiley, New York, (2001)
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Index entries for linear recurrences with constant coefficients, signature (2,0,-1).
FORMULA
a(n) = 2*a(n-1)-a(n-3). G.f.: x^2*(x+3) / ((x-1)*(x^2+x-1)). - Colin Barker, Oct 28 2014
MATHEMATICA
Table[(5*Fibonacci[n] + 3*LucasL[n] - 8)/2, {n, 60}] (* or *) Table[LucasL[n+2] - 4, {n, 60}]
PROG
(PARI) a(n)=fibonacci(n)+3*fibonacci(n+1)-4 \\ Charles R Greathouse IV, Feb 08 2012
(PARI) concat(0, Vec(x^2*(x+3)/((x-1)*(x^2+x-1)) + O(x^100))) \\ Colin Barker, Oct 28 2014
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vladimir Joseph Stephan Orlovsky, Feb 07 2012
EXTENSIONS
Name shortened, Joerg Arndt, Oct 28 2014
STATUS
approved