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 A042012 Numerators of continued fraction convergents to sqrt(530). 2
 23, 1059, 48737, 2242961, 103224943, 4750590339, 218630380537, 10061748095041, 463059042752423, 21310777714706499, 980758833919251377, 45136217138000269841, 2077246747181931664063, 95598486587506856816739, 4399607629772497345234057 (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 (46,1). FORMULA From Philippe Deléham, Nov 23 2008: (Start) a(n) = 46*a(n-1) + a(n-2), n > 1; a(0)=23, a(1)=1059. G.f.: (23+x)/(1-46*x-x^2). (End) a(n) = (1/2)*sqrt(530)*((23+sqrt(530))^n - (23-sqrt(530))^n) + (23/2)*((23+sqrt(530))^n + (23-sqrt(530))^n), with n >= 0. - Paolo P. Lava, Nov 28 2008 MATHEMATICA Numerator[Convergents[Sqrt[530], 30]] (* Vincenzo Librandi, Nov 13 2013 *) LinearRecurrence[{46, 1}, {23, 1059}, 30] (* Harvey P. Dale, May 05 2016 *) CROSSREFS Cf. A042013, A040506. Sequence in context: A069479 A174748 A042015 * A128404 A126741 A273477 Adjacent sequences:  A042009 A042010 A042011 * A042013 A042014 A042015 KEYWORD nonn,cofr,frac,easy,less AUTHOR EXTENSIONS Additional term from Colin Barker, Nov 29 2013 STATUS approved

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Last modified October 29 21:59 EDT 2020. Contains 338074 sequences. (Running on oeis4.)