OFFSET
5,1
LINKS
Colin Barker, Table of n, a(n) for n = 5..1000
H. Zhao and X. Li, On the Fibonacci numbers of trees, Fib. Quart., 44 (2006), 32-38.
Index entries for linear recurrences with constant coefficients, signature (1,1).
FORMULA
From Colin Barker, Jul 30 2013: (Start)
a(n) = a(n-1) + a(n-2).
G.f.: -2*x^5*(7*x+5) / (x^2+x-1). (End)
MAPLE
with(combinat): A101156:=n->2*fibonacci(n)+8*fibonacci(n-5): seq(A101156(n), n=5..50); # Wesley Ivan Hurt, Jan 23 2017
MATHEMATICA
Table[2Fibonacci[n]+8Fibonacci[n-5], {n, 5, 40}] (* Harvey P. Dale, Jul 15 2013 *)
LinearRecurrence[{1, 1}, {10, 24}, 35] (* Vincenzo Librandi, Jan 24 2017 *)
PROG
(PARI) Vec(-2*x^5*(7*x+5)/(x^2+x-1) + O(x^50)) \\ Colin Barker, Mar 07 2016
(Magma) [2*Fibonacci(n)+8*Fibonacci(n-5): n in [5..40]]; // Vincenzo Librandi, Jan 24 2017
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Oct 03 2007
STATUS
approved