OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,2702,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^14 -2*x^13 +3*x^12 -5*x^11 +23*x^10 -28*x^9 +51*x^8 -130*x^7 -51*x^6 -28*x^5 -23*x^4 -5*x^3 -3*x^2 -2*x -1) / ((x^8 -52*x^4 +1)*(x^8 +52*x^4 +1)). - Colin Barker, Nov 14 2013
a(n) = 2702*a(n-8) - a(n-16). - Vincenzo Librandi, Dec 12 2013
MATHEMATICA
Denominator[Convergents[Sqrt[108], 30]] (* Vincenzo Librandi, Dec 12 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 2702, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 2, 3, 5, 23, 28, 51, 130, 2651, 5432, 8083, 13515, 62143, 75658, 137801, 351260}, 30] (* Harvey P. Dale, Jan 08 2016 *)
PROG
(Magma) I:=[1, 2, 3, 5, 23, 28, 51, 130, 2651, 5432, 8083, 13515, 62143, 75658, 137801, 351260]; [n le 16 select I[n] else 2702*Self(n-8)-Self(n-16): n in [1..40]]; // Vincenzo Librandi, Dec 12 2013
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 14 2013
STATUS
approved