OFFSET
0,3
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,0,0,142,0,0,0,-1).
FORMULA
G.f.: (1 +x +5*x^2 +6*x^3 -5*x^4 +x^5 -x^6)/(1 -142*x^4 +x^8). - Vincenzo Librandi, Dec 13 2013
a(n) = 142*a(n-4) - a(n-8). - Vincenzo Librandi, Dec 13 2013
MATHEMATICA
Denominator[Convergents[Sqrt[140], 30]] (* or *) CoefficientList[Series[(1 + x + 5 x^2 + 6 x^3 - 5 x^4 + x^5 - x^6)/(1 - 142 x^4 + x^8), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 13 2013 *)
PROG
(Magma) I:=[1, 1, 5, 6, 137, 143, 709, 852]; [n le 8 select I[n] else 142*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Dec 13 2013
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
STATUS
approved