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A041265 Denominators of continued fraction convergents to sqrt(145). 2
1, 24, 577, 13872, 333505, 8017992, 192765313, 4634385504, 111418017409, 2678666803320, 64399421297089, 1548264777933456, 37222754091700033, 894894362978734248, 21514687465581321985, 517247393536930461888, 12435452132351912407297 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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 (24,1).

FORMULA

a(n)=F(n, 24), the n-th Fibonacci polynomial evaluated at x=24. - T. D. Noe, Jan 19 2006

a(n) = 24*a(n-1)+a(n-2) for n>1, a(0)=1, a(1)=24. G.f.: 1/(1-24*x-x^2). [Philippe Deléham, Nov 21 2008]

MATHEMATICA

a=0; lst={}; s=0; Do[a=s-(a-1); AppendTo[lst, a]; s+=a*24, {n, 3*4!}]; lst (* Vladimir Joseph Stephan Orlovsky, Oct 27 2009 *)

Denominator[Convergents[Sqrt[145], 30]] (* Vincenzo Librandi, Dec 14 2013 *)

CROSSREFS

Cf. A041264, A176910, A040132.

Sequence in context: A171298 A268027 A009968 * A042106 A158637 A179059

Adjacent sequences:  A041262 A041263 A041264 * A041266 A041267 A041268

KEYWORD

nonn,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 14 2013

STATUS

approved

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Last modified November 20 04:05 EST 2017. Contains 294959 sequences.