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A042310 Numerators of continued fraction convergents to sqrt(682). 2
26, 209, 235, 679, 3630, 7939, 43325, 94589, 137914, 1197901, 62428766, 500628029, 563056795, 1626741619, 8696764890, 19020271399, 103798121885, 226616515169, 330414637054, 2869933611601, 149566962440306, 1199405633134049, 1348972595574355 (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 (0,0,0,0,0,0,0,0,0,2395802,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^19 -26*x^18 +209*x^17 -235*x^16 +679*x^15 -3630*x^14 +7939*x^13 -43325*x^12 +94589*x^11 -137914*x^10 -1197901*x^9 -137914*x^8 -94589*x^7 -43325*x^6 -7939*x^5 -3630*x^4 -679*x^3 -235*x^2 -209*x -26) / (x^20 -2395802*x^10 +1). - Colin Barker, Dec 07 2013

MATHEMATICA

Numerator[Convergents[Sqrt[682], 30]] (* Vincenzo Librandi, Nov 21 2013 *)

CROSSREFS

Cf. A042311, A040655.

Sequence in context: A056026 A159762 A100242 * A213123 A125363 A126521

Adjacent sequences:  A042307 A042308 A042309 * A042311 A042312 A042313

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 July 1 22:23 EDT 2022. Contains 354984 sequences. (Running on oeis4.)