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 A041220 Numerators of continued fraction convergents to sqrt(122). 3
 11, 243, 5357, 118097, 2603491, 57394899, 1265291269, 27893802817, 614928953243, 13556330774163, 298854205984829, 6588348862440401, 145242529179673651, 3201923990815260723, 70587570327115409557, 1556128471187354270977, 34305413936448909371051 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 Tanya Khovanova, Recursive Sequences Index entries for linear recurrences with constant coefficients, signature (22,1). FORMULA From Philippe Deléham, Nov 21 2008: (Start) a(n) = 22*a(n-1) + a(n-2) for n > 1, a(0)=11, a(1)=243. G.f.: (11+x) / (1-22*x-x^2). (End) MATHEMATICA Numerator/@Convergents[Sqrt[122], 20] (* Harvey P. Dale, Jun 04 2011 *) CoefficientList[Series[(11 + x)/(1 - 22 x - x^2), {x, 0, 30}], x] (* Vincenzo Librandi, Oct 31 2013 *) CROSSREFS Cf. A041221. Sequence in context: A196258 A121826 A041223 * A347483 A219089 A243683 Adjacent sequences: A041217 A041218 A041219 * A041221 A041222 A041223 KEYWORD nonn,cofr,frac,easy AUTHOR N. J. A. Sloane EXTENSIONS More terms from Colin Barker, Nov 05 2013 STATUS approved

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Last modified August 10 05:56 EDT 2024. Contains 375044 sequences. (Running on oeis4.)