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A042105 Denominators of continued fraction convergents to sqrt(577). 2
1, 48, 2305, 110688, 5315329, 255246480, 12257146369, 588598272192, 28264974211585, 1357307360428272, 65179018274768641, 3129950184549323040, 150302787876642274561, 7217663768263378501968, 346598163664518810369025, 16643929519665166276215168 (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 (48,1).

FORMULA

a(n) = F(n, 48), the n-th Fibonacci polynomial evaluated at x=48. - T. D. Noe, Jan 19 2006

From Philippe Deléham, Nov 23 2008: (Start)

a(n) = 48*a(n-1) + a(n-2), n>1; a(0)=1, a(1)=48.

G.f.: 1/(1 - 48*x - x^2). (End)

MATHEMATICA

a=0; lst={}; s=0; Do[a=s-(a-1); AppendTo[lst, a]; s+=a*48, {n, 3*4!}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 03 2009 *)

Denominator[Convergents[Sqrt[577], 30]] (* Vincenzo Librandi, Jan 14 2014 *)

LinearRecurrence[{48, 1}, {1, 48}, 20] (* Harvey P. Dale, Aug 21 2019 *)

CROSSREFS

Cf. A042104, A040552.

Sequence in context: A158783 A227139 A009992 * A206046 A079240 A275564

Adjacent sequences:  A042102 A042103 A042104 * A042106 A042107 A042108

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

Additional term from Colin Barker, Dec 01 2013

STATUS

approved

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Last modified December 6 21:48 EST 2019. Contains 329809 sequences. (Running on oeis4.)