A042310 Numerators of continued fraction convergents to sqrt(682).

26, 209, 235, 679, 3630, 7939, 43325, 94589, 137914, 1197901, 62428766, 500628029, 563056795, 1626741619, 8696764890, 19020271399, 103798121885, 226616515169, 330414637054, 2869933611601, 149566962440306, 1199405633134049, 1348972595574355

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