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A041418 Numerators of continued fraction convergents to sqrt(224). 2
14, 15, 434, 449, 13006, 13455, 389746, 403201, 11679374, 12082575, 349991474, 362074049, 10488064846, 10850138895, 314291953906, 325142092801, 9418270552334, 9743412645135, 282233824616114 (list; graph; refs; listen; history; text; internal format)
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 A043663

Adjacent sequences:  A041415 A041416 A041417 * A041419 A041420 A041421

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 23 18:13 EST 2019. Contains 320437 sequences. (Running on oeis4.)