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A041612
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Numerators of continued fraction convergents to sqrt(325).
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2
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18, 649, 23382, 842401, 30349818, 1093435849, 39394040382, 1419278889601, 51133434066018, 1842222905266249, 66371158023650982, 2391203911756701601, 86149711981264908618, 3103780835237293411849, 111822259780523827735182, 4028705132934095091878401
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OFFSET
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0,1
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LINKS
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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).
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FORMULA
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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
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MATHEMATICA
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Numerator[Convergents[Sqrt[325], 30]] (* Vincenzo Librandi, Nov 04 2013 *)
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CROSSREFS
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Cf. A041613.
Sequence in context: A003298 A049869 A041615 * A046674 A073421 A346216
Adjacent sequences: A041609 A041610 A041611 * A041613 A041614 A041615
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KEYWORD
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nonn,cofr,frac,easy
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AUTHOR
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N. J. A. Sloane
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EXTENSIONS
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Additional term from Colin Barker, Nov 09 2013
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STATUS
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approved
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