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 A041207 Denominators of continued fraction convergents to sqrt(114). 2
 1, 1, 3, 31, 65, 96, 1985, 2081, 6147, 63551, 133249, 196800, 4069249, 4266049, 12601347, 130279519, 273160385, 403439904, 8341958465, 8745398369, 25832755203, 267072950399, 559978656001, 827051606400 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified June 15 11:51 EDT 2024. Contains 373407 sequences. (Running on oeis4.)