

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
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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 nth Fibonacci polynomial evaluated at x=48.  T. D. Noe, Jan 19 2006
From Philippe Deléham, Nov 23 2008: (Start)
a(n) = 48*a(n1) + a(n2), 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(a1); 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



