OFFSET
0,2
LINKS
Colin Barker, Table of n, a(n) for n = 0..923
Index entries for linear recurrences with constant coefficients, signature (13,-11).
FORMULA
a(n) = 13*a(n-1)-11*a(n-2).
a(n) = (1/sqrt(5))*(((13+5*sqrt(5))/2)^n-((13-5*sqrt(5))/2)^n).
G.f.: 5*x / (11*x^2-13*x+1). - Colin Barker, Apr 27 2015
MATHEMATICA
Table[Sum[Binomial[n, k]Fibonacci[5k], {k, 0, n}], {n, 0, 20}] (* Harvey P. Dale, Sep 03 2014 *)
LinearRecurrence[{13, -11}, {0, 5}, 20] (* Vincenzo Librandi, Apr 27 2015 *)
PROG
(PARI) concat(0, Vec(5*x/(11*x^2-13*x+1) + O(x^100))) \\ Colin Barker, Apr 27 2015
(Magma) I:=[0, 5]; [n le 2 select I[n] else 13*Self(n-1)-11*Self(n-2): n in [1..20]]; // Vincenzo Librandi, Apr 27 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Benoit Cloitre, Oct 23 2003
STATUS
approved