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 A041364 Numerators of continued fraction convergents to sqrt(197). 2
 14, 393, 11018, 308897, 8660134, 242792649, 6806854306, 190834713217, 5350178824382, 149995841795913, 4205233749109946, 117896540816874401, 3305308376621593174, 92666531086221483273, 2597968178790823124818, 72835775537229268978177, 2041999683221210354513774 (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 (28,1). FORMULA a(n)=28*a(n-1)+a(n-2), n>1 ; a(0)=14, a(1)=393 . G.f.: (14+x)/(1-28*x-x^2). [From Philippe Deléham, Nov 21 2008] a(n)=7*{[14-sqrt(197)]^n+[14+sqrt(197)]^n}+(1/2)*sqrt(197)*{[14+sqrt(197)]^n-[14-sqrt(197)]^n }, with n>=0 [From Paolo P. Lava, Nov 28 2008] MATHEMATICA Numerator[Convergents[Sqrt[197], 30]] (* Vincenzo Librandi, Nov 01 2013 *) CROSSREFS Cf. A041365. Sequence in context: A223003 A228185 A041367 * A222904 A239785 A275025 Adjacent sequences:  A041361 A041362 A041363 * A041365 A041366 A041367 KEYWORD nonn,cofr,frac,easy AUTHOR EXTENSIONS More terms from Colin Barker, Nov 07 2013 STATUS approved

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