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 A041420 Numerators of continued fraction convergents to sqrt(226). 2
 15, 451, 13545, 406801, 12217575, 366934051, 11020239105, 330974107201, 9940243455135, 298538277761251, 8966088576292665, 269281195566541201, 8087401955572528695, 242891339862742402051, 7294827597837844590225, 219087719274998080108801 (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 (30,1). FORMULA a(n) = 30*a(n-1)+a(n-2), n>1 ; a(0)=15, a(1)=451 . G.f.: (15+x)/(1-30*x-x^2). - Philippe Deléham, Nov 22 2008 a(n) = (15/2)*{[15-sqrt(226)]^n+[15+sqrt(226)]^n}+(1/2)*sqrt(226)*{[15+sqrt(226)]^n-[15 -sqrt(226)]^n}, with n>=0. - Paolo P. Lava, Nov 28 2008 MATHEMATICA Numerator[Convergents[Sqrt[226], 20]] (* Harvey P. Dale, Feb 02 2012 *) CROSSREFS Cf. A041421. Sequence in context: A267666 A020285 A041423 * A036506 A219561 A209488 Adjacent sequences:  A041417 A041418 A041419 * A041421 A041422 A041423 KEYWORD nonn,cofr,frac,easy AUTHOR EXTENSIONS Additional term from Colin Barker, Nov 07 2013 STATUS approved

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Last modified December 10 13:02 EST 2018. Contains 318048 sequences. (Running on oeis4.)