OFFSET
1,1
COMMENTS
Apart from the offset, the same as A003481. - R. J. Mathar, Sep 18 2008
REFERENCES
Hugh C. Williams, Edouard Lucas and Primality Testing, John Wiley and Sons, 1998, p. 75.
LINKS
Nathaniel Johnston, Table of n, a(n) for n = 1..500
Index entries for linear recurrences with constant coefficients, signature (8,-8,1).
FORMULA
a(n) = 8*a(n-1) - 8*a(n-2) + a(n-3).
G.f.: x*(2+4*x-x^2)/((1-x)*(1-7*x+x^2)). - Colin Barker, Jun 24 2012
MAPLE
with(combinat) for n from 0 to 30 do printf(`%d, `, fibonacci(4*n)-1) od # James Sellers, Mar 03 2003
MATHEMATICA
Fibonacci[4*Range[30]]-1 (* or *) LinearRecurrence[{8, -8, 1}, {2, 20, 143}, 30] (* Harvey P. Dale, Mar 19 2018 *)
PROG
(Magma) [Fibonacci(4*n)-1: n in [1..30]]; // Vincenzo Librandi, Apr 15 2011
(PARI) vector(30, n, fibonacci(4*n)-1) \\ G. C. Greubel, Jul 15 2019
(SageMath) [fibonacci(4*n)-1 for n in (1..30)] # G. C. Greubel, Jul 15 2019
(GAP) List([1..30], n-> Fibonacci(4*n)-1); # G. C. Greubel, Jul 15 2019
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
R. K. Guy, Mar 01 2003
EXTENSIONS
More terms from James Sellers, Mar 03 2003
STATUS
approved