OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,146,0,-1).
FORMULA
G.f.: (12+73*x+12*x^2-x^3)/(1-146*x^2+x^4). - Vincenzo Librandi, Nov 01 2013
a(n) = 146*a(n-2)-a(n-4). - Vincenzo Librandi, Nov 01 2013
MATHEMATICA
Numerator[Convergents[Sqrt[148], 30]] (* or *) CoefficientList[Series[(12 + 73 x + 12 x^2 - x^3)/(1 - 146 x^2 + x^4), {x, 0, 25}], x](* Vincenzo Librandi, Nov 01 2013 *)
LinearRecurrence[{0, 146, 0, -1}, {12, 73, 1764, 10657}, 20] (* Harvey P. Dale, Apr 28 2018 *)
PROG
(Magma) I:=[12, 73, 1764, 10657]; [n le 4 select I[n] else 146*Self(n-2)-Self(n-4): n in [1..25]]; // Vincenzo Librandi, Nov 01 2013
CROSSREFS
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved