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 +11*x^2 +12*x^3 -11*x^4 +x^5 -x^6)/(1 -286*x^4 +x^8). - Vincenzo Librandi, Dec 14 2013
a(n) = 286*a(n-4) - a(n-8). - Vincenzo Librandi, Dec 14 2013
MATHEMATICA
Denominator[Convergents[Sqrt[142], 30]] (* or *) CoefficientList[Series[(1 + x + 11 x^2 + 12 x^3 - 11 x^4 + x^5 - x^6)/(1 - 286 x^4 + x^8), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 14 2013 *)
PROG
(Magma) I:=[1, 1, 11, 12, 275, 287, 3145, 3432]; [n le 8 select I[n] else 286*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Dec 14 2013
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Vincenzo Librandi, Dec 14 2013
STATUS
approved