OFFSET
0,3
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,488,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^2-x-1)*(x^4+3*x^2+1)*(x^8+7*x^4+1) / (x^16-488*x^8+1). - Colin Barker, Nov 14 2013
a(n) = 488*a(n-8) - a(n-16). - Vincenzo Librandi, Dec 13 2013
MATHEMATICA
Denominator[Convergents[Sqrt[135], 30]] (* Vincenzo Librandi, Dec 13 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 488, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 1, 2, 3, 5, 8, 13, 21, 475, 496, 971, 1467, 2438, 3905, 6343, 10248}, 40] (* Harvey P. Dale, Aug 01 2019 *)
PROG
(Magma) I:=[1, 1, 2, 3, 5, 8, 13, 21, 475, 496, 971, 1467, 2438, 3905, 6343, 10248]; [n le 16 select I[n] else 488*Self(n-8)-Self(n-16): n in [1..40]]; // Vincenzo Librandi, Dec 13 2013
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 14 2013
STATUS
approved