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A042013 Denominators of continued fraction convergents to sqrt(530). 2
1, 46, 2117, 97428, 4483805, 206352458, 9496696873, 437054408616, 20113999493209, 925681031096230, 42601441429919789, 1960591986807406524, 90229832834570619893, 4152532902377055921602, 191106743342179143013585, 8795062726642617634546512 (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 (46,1).

FORMULA

a(n) = F(n, 46), the n-th Fibonacci polynomial evaluated at x=46. - T. D. Noe, Jan 19 2006

a(n) = 46*a(n-1)+a(n-2) for n>1; a(0)=1, a(1)=46. G.f.: 1/(1-46*x-x^2). [ Philippe Deléham, Nov 23 2008]

MATHEMATICA

a=0; lst={}; s=0; Do[a=s-(a-1); AppendTo[lst, a]; s+=a*46, {n, 3*4!}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 03 2009 *)

Denominator[Convergents[Sqrt[530], 40]] (* Vincenzo Librandi, Jan 12 2014 *)

CROSSREFS

Cf. A042012, A040506.

Sequence in context: A264525 A223971 A009990 * A234153 A123830 A201234

Adjacent sequences:  A042010 A042011 A042012 * A042014 A042015 A042016

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Additional term from Colin Barker, Nov 29 2013

STATUS

approved

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Last modified November 24 07:58 EST 2017. Contains 295173 sequences.