A041314 - OEIS

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A041314

Numerators of continued fraction convergents to sqrt(171).

13, 170, 4433, 57799, 1507207, 19651490, 512445947, 6681448801, 174230114773, 2271672940850, 59237726576873, 772362118440199, 20140652806022047, 262600848596726810, 6847762716320919107, 89283516160768675201, 2328219182896306474333, 30356132893812752841530

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OFFSET

0,1

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (0,340,0,-1).

FORMULA

G.f.: -(x^3-13*x^2-170*x-13) / (x^4-340*x^2+1). - Colin Barker, Nov 06 2013

MATHEMATICA

Numerator[Convergents[Sqrt[171], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

CROSSREFS

Cf. A041315.

Sequence in context: A053153 A167254 A140455 * A275293 A296585 A219021

Adjacent sequences: A041311 A041312 A041313 * A041315 A041316 A041317

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 06 2013

STATUS

approved

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