OFFSET
0,3
LINKS
FORMULA
a(n) = (1/5)*Sum_{k=0..n} binomial(n, k)*F(5*k) where F(k) denotes the k-th Fibonacci number.
G.f.: x / (11*x^2-13*x+1). - Colin Barker, Jun 26 2013
MATHEMATICA
Join[{a=0, b=1}, Table[c=13*b-11*a; a=b; b=c, {n, 60}]] (* Vladimir Joseph Stephan Orlovsky, Jan 21 2011 *)
PROG
(PARI) a(n)=(1/5)*sum(k=0, n, binomial(n, k)*fibonacci(5*k));
(Sage) [lucas_number1(n, 13, 11) for n in range(0, 18)] # Zerinvary Lajos, Apr 29 2009
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Benoit Cloitre, Jun 21 2003
STATUS
approved