OFFSET
0,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
Tanya Khovanova, Recursive Sequences
Index entries for linear recurrences with constant coefficients, signature (5,5).
FORMULA
From Philippe Deléham, Nov 19 2008: (Start)
a(n) = 5*a(n-1) + 5*a(n-2), n > 1; a(0)=0, a(1)=5.
G.f.: 5*x/(1-5*x-5*x^2). (End)
a(n) = (1/6)*5^((n+1)/2)*((1-(-1)^n)*Lucas(2*n) + (1+(-1)^n)*sqrt(5)*Fibonacci(2*n)). - G. C. Greubel, Sep 06 2021
MATHEMATICA
LinearRecurrence[{5, 5}, {0, 5}, 40] (* G. C. Greubel, Sep 06 2021 *)
PROG
(Magma) I:=[0, 5]; [n le 2 select I[n] else 5*(Self(n-1) +Self(n-2)): n in [1..41]]; // G. C. Greubel, Sep 06 2021
(Sage) [5*lucas_number1(n, 5, -5) for n in (0..40)] # G. C. Greubel, Sep 06 2021
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Roger L. Bagula, May 30 2005
EXTENSIONS
Name changed by G. C. Greubel, Sep 06 2021
STATUS
approved