A041418 Numerators of continued fraction convergents to sqrt(224).

14, 15, 434, 449, 13006, 13455, 389746, 403201, 11679374, 12082575, 349991474, 362074049, 10488064846, 10850138895, 314291953906, 325142092801, 9418270552334, 9743412645135, 282233824616114

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,30,0,-1).

Formula

G.f.: (14 + 15*x + 14*x^2 - x^3) / (1 - 30*x^2 + x^4). - Vincenzo Librandi, Nov 02 2013

Mathematica

Numerator[Convergents[Sqrt[224], 30]] (* or *) CoefficientList[Series[(14 + 15 x + 14 x^2 - x^3)/(1 - 30 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 02 2013 *)

Crossrefs

Cf. A041419.

Sequence in context: A225757 A041416 A041417 * A042733 A225758 A351866

Adjacent sequences: A041415 A041416 A041417 * A041419 A041420 A041421

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved