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

0,1

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).

Formula

G.f.: (15 + 46*x + 15*x^2 - x^3) / (1 - 92*x^2 + x^4). - Vincenzo Librandi, Nov 02 2013

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 *)

Crossrefs

Cf. A041439.

Sequence in context: A219885 A042007 A269013 * A045111 A031451 A105572

Adjacent sequences: A041435 A041436 A041437 * A041439 A041440 A041441

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved