OFFSET
0,3
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,4098,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^10-x^9+5*x^8-31*x^7+129*x^6-160*x^5-129*x^4-31*x^3-5*x^2-x-1) / ((x^6-64*x^3-1)*(x^6+64*x^3-1)). - Colin Barker, Nov 15 2013
a(n) = 4098*a(n-6) - a(n-12). - Vincenzo Librandi, Dec 15 2013
MATHEMATICA
Denominator[Convergents[Sqrt[164], 30]] (* Vincenzo Librandi, Dec 15 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 4098, 0, 0, 0, 0, 0, -1}, {1, 1, 5, 31, 129, 160, 3969, 4129, 20485, 127039, 528641, 655680}, 30] (* Harvey P. Dale, Nov 25 2015 *)
PROG
(Magma) I:=[1, 1, 5, 31, 129, 160, 3969, 4129, 20485, 127039, 528641, 655680]; [n le 12 select I[n] else 4098*Self(n-6)-Self(n-12): n in [1..40]]; // Vincenzo Librandi, Dec 15 2013
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 15 2013
STATUS
approved