OFFSET
0,3
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,4048,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^10 -x^9 +5*x^8 -16*x^7 +69*x^6 -85*x^5 -69*x^4 -16*x^3 -5*x^2 -x -1) / ((x^4 -16*x^2 +1)*(x^8 +16*x^6 +255*x^4 +16*x^2 +1)). - Colin Barker, Dec 01 2013
a(n) = 4048*a(n-6) - a(n-12) for n>11. - Vincenzo Librandi, Jan 14 2014
MATHEMATICA
Denominator[Convergents[Sqrt[567], 30]] (* Vincenzo Librandi, Jan 14 2014 *)
LinearRecurrence[{0, 0, 0, 0, 0, 4048, 0, 0, 0, 0, 0, -1}, {1, 1, 5, 16, 69, 85, 3979, 4064, 20235, 64769, 279311, 344080}, 40] (* Harvey P. Dale, Nov 24 2022 *)
PROG
(Magma) I:=[1, 1, 5, 16, 69, 85, 3979, 4064, 20235, 64769, 279311, 344080]; [n le 12 select I[n] else 4048*Self(n-6)-Self(n-12): 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