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 A041612 Numerators of continued fraction convergents to sqrt(325). 2
 18, 649, 23382, 842401, 30349818, 1093435849, 39394040382, 1419278889601, 51133434066018, 1842222905266249, 66371158023650982, 2391203911756701601, 86149711981264908618, 3103780835237293411849, 111822259780523827735182, 4028705132934095091878401 (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 (36,1). FORMULA From Philippe Deléham, Nov 23 2008: (Start) a(n) = 36*a(n-1) + a(n-2), n > 1; a(0)=18, a(1)=649. G.f.: (18+x)/(1-36*x-x^2). (End) a(n) = 9*((18+5*sqrt(13))^n + (18-5*sqrt(13))^n) + (5/2)*sqrt(13)*((18+5*sqrt(13))^n - (18-5*sqrt(13))^n), with n >= 0. - Paolo P. Lava, Nov 28 2008 MATHEMATICA Numerator[Convergents[Sqrt[325], 30]] (* Vincenzo Librandi, Nov 04 2013 *) CROSSREFS Cf. A041613. Sequence in context: A003298 A049869 A041615 * A046674 A073421 A346216 Adjacent sequences: A041609 A041610 A041611 * A041613 A041614 A041615 KEYWORD nonn,cofr,frac,easy AUTHOR EXTENSIONS Additional term from Colin Barker, Nov 09 2013 STATUS approved

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Last modified March 29 05:10 EDT 2023. Contains 361596 sequences. (Running on oeis4.)