A041660 Numerators of continued fraction convergents to sqrt(349).

18, 19, 56, 411, 2933, 6277, 9210, 337837, 347047, 1031931, 7570564, 54025879, 115622322, 169648201, 6222957558, 6392605759, 19008169076, 139449789291, 995156694113, 2129763177517, 3124919871630, 114626878556197, 117751798427827, 350130475411851

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, 18420, 0, 0, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^13 -18*x^12 +19*x^11 -56*x^10 +411*x^9 -2933*x^8 +6277*x^7 +9210*x^6 +6277*x^5 +2933*x^4 +411*x^3 +56*x^2 +19*x +18) / (x^14 +18420*x^7 -1). - Colin Barker, Nov 10 2013

Mathematica

Numerator[Convergents[Sqrt[349], 30]] (* Vincenzo Librandi, Nov 06 2013 *)

Crossrefs

Cf. A041661.

Sequence in context: A041662 A300092 A042517 * A257314 A041668 A041666

Adjacent sequences: A041657 A041658 A041659 * A041661 A041662 A041663

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 10 2013

Status

approved