A042290 Numerators of continued fraction convergents to sqrt(671).

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

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