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A042290 Numerators of continued fraction convergents to sqrt(671). 2
25, 26, 259, 544, 803, 1347, 2150, 5647, 52973, 58620, 2983973, 3042593, 30367310, 63777213, 94144523, 157921736, 252066259, 662054254, 6210554545, 6872608799, 349840994495, 356713603294, 3560263424141, 7477240451576, 11037503875717, 18514744327293 (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, 0, 0, 0, 0, 0, 0, 0, 0, 117240, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^19 -25*x^18 +26*x^17 -259*x^16 +544*x^15 -803*x^14 +1347*x^13 -2150*x^12 +5647*x^11 -52973*x^10 -58620*x^9 -52973*x^8 -5647*x^7 -2150*x^6 -1347*x^5 -803*x^4 -544*x^3 -259*x^2 -26*x -25) / (x^20 -117240*x^10 +1). - Colin Barker, Dec 07 2013

MATHEMATICA

Numerator[Convergents[Sqrt[671], 30]] (* Vincenzo Librandi, Nov 21 2013 *)

CROSSREFS

Cf. A042291, A040645.

Sequence in context: A042284 A042286 A042288 * A042292 A042294 A041311

Adjacent sequences:  A042287 A042288 A042289 * A042291 A042292 A042293

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 07 2013

STATUS

approved

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Last modified April 21 07:58 EDT 2021. Contains 343146 sequences. (Running on oeis4.)