A041438 Numerators of continued fraction convergents to sqrt(235).
15, 46, 1395, 4231, 128325, 389206, 11804505, 35802721, 1085886135, 3293461126, 99889719915, 302962620871, 9188768346045, 27869267659006, 845266798116225, 2563669662007681, 77755356658346655, 235829739637047646
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..200
- Index entries for linear recurrences with constant coefficients, signature (0,92,0,-1).
Crossrefs
Cf. A041439.
Programs
-
Mathematica
Numerator[Convergents[Sqrt[235], 30]] (* or *) CoefficientList[Series[(15 + 46 x + 15 x^2 - x^3)/(1 - 92 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 02 2013 *) LinearRecurrence[{0, 92, 0, -1}, {15, 46, 1395, 4231}, 20] (* Bruno Berselli, Nov 02 2013 *)
Formula
G.f.: (15 + 46*x + 15*x^2 - x^3) / (1 - 92*x^2 + x^4). - Vincenzo Librandi, Nov 02 2013