OFFSET
0,1
LINKS
Indranil Ghosh, Table of n, a(n) for n = 0..596
Tanya Khovanova, Recursive Sequences
Index entries for linear recurrences with constant coefficients, signature (47,-1).
FORMULA
From Philippe Deléham, Nov 18 2008: (Start)
a(n) = 47*a(n-1) - a(n-2), a(0)=3, a(1)=137.
G.f.: (3-4*x)/(1-47*x+x^2). (End)
EXAMPLE
a(2) = (F(8 * 2 + 6) + F(8 * 2 + 1)) / 3 = (F(22) + F(17)) / 3 = (17711 + 1597) / 3 = 19308 / 3 = 6436. - Indranil Ghosh, Feb 05 2017
MATHEMATICA
Table[(Fibonacci[8*n+6] + Fibonacci[8*n+1])/3, {n, 0, 30}] (* or *) LinearRecurrence[{47, -1}, {3, 137}, 30] (* G. C. Greubel, Dec 02 2017 *)
PROG
(PARI) a(n) = (fibonacci(8*n+6)+fibonacci(8*n+1))/3; \\ Michel Marcus, Feb 05 2017
(Magma) [(Fibonacci(8*n+6) + Fibonacci(8*n+1))/3: n in [0..30]]; // G. C. Greubel, Dec 02 2017
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved