OFFSET
0,3
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,0,0,286,0,0,0,-1).
FORMULA
G.f.: (1 + x - x^2)*(1 + 6*x^2 + x^4)/(1 - 286*x^4 + x^8). - Colin Barker, Dec 01 2013
a(n) = 286*a(n-4) - a(n-8) for n>7. - Vincenzo Librandi, Jan 14 2014
MATHEMATICA
Denominator[Convergents[Sqrt[568], 30]] (* Vincenzo Librandi, Jan 14 2014 *)
LinearRecurrence[{0, 0, 0, 286, 0, 0, 0, -1}, {1, 1, 5, 6, 281, 287, 1429, 1716}, 40] (* Harvey P. Dale, Sep 15 2019 *)
PROG
(Magma) I:=[1, 1, 5, 6, 281, 287, 1429, 1716]; [n le 8 select I[n] else 286*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Jan 14 2014
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 01 2013
STATUS
approved