A041207 Denominators of continued fraction convergents to sqrt(114).

1, 1, 3, 31, 65, 96, 1985, 2081, 6147, 63551, 133249, 196800, 4069249, 4266049, 12601347, 130279519, 273160385, 403439904, 8341958465, 8745398369, 25832755203, 267072950399, 559978656001, 827051606400

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,2050,0,0,0,0,0,-1).

Formula

a(n) = 2050*a(n-6)-a(n-12). G.f.: -(x^10-x^9+3*x^8-31*x^7+65*x^6-96*x^5-65*x^4-31*x^3-3*x^2-x-1)/(x^12-2050*x^6+1). [Colin Barker, Jul 19 2012]

Mathematica

Denominator[Convergents[Sqrt[114], 30]] (* Vincenzo Librandi, Oct 24 2013 *)

Crossrefs

Cf. A041206.

Sequence in context: A238663 A141966 A050833 * A133203 A062616 A289733

Adjacent sequences: A041204 A041205 A041206 * A041208 A041209 A041210

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved