A041709 Denominators of continued fraction convergents to sqrt(374).

1, 2, 3, 56, 59, 174, 6671, 13516, 20187, 376882, 397069, 1171020, 44895829, 90962678, 135858507, 2536415804, 2672274311, 7880964426, 302148922499, 612178809424, 914327731923, 17070077984038, 17984405715961, 53038889415960, 2033462203522441, 4119963296460842

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,6730,0,0,0,0,0,-1).

Formula

G.f.: -(x^10-2*x^9+3*x^8-56*x^7+59*x^6-174*x^5-59*x^4-56*x^3-3*x^2-2*x-1) / (x^12-6730*x^6+1). - Colin Barker, Nov 22 2013

Mathematica

Denominator[Convergents[Sqrt[374], 30]] (* Harvey P. Dale, Feb 27 2012 *)

Crossrefs

Cf. A041708, A040354.

Sequence in context: A037424 A155088 A072871 * A361095 A362835 A375688

Adjacent sequences: A041706 A041707 A041708 * A041710 A041711 A041712

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 22 2013

Status

approved