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A042301 Denominators of continued fraction convergents to sqrt(677). 2
1, 52, 2705, 140712, 7319729, 380766620, 19807183969, 1030354333008, 53598232500385, 2788138444353028, 145036797338857841, 7544701600064960760, 392469520000716817361, 20415959741637339463532, 1062022376085142368921025, 55245579516169040523356832 (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 (52, 1).

FORMULA

a(n) = F(n, 52), the n-th Fibonacci polynomial evaluated at x=52. - T. D. Noe, Jan 19 2006

a(n) = 52*a(n-1)+a(n-2) for n>1, a(0)=1, a(1)=52. G.f.: 1/(1-52*x-x^2). [Philippe Deléham, Nov 23 2008]

MATHEMATICA

a = 0; lst = {}; s = 0; Do[a = s - (a - 1); AppendTo[lst, a]; s += a*52, {n, 3*4!}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 03 2009 *)

Denominator[Convergents[Sqrt[677], 30]] (* Vincenzo Librandi, Jan 19 2014 *)

CROSSREFS

Cf. A042300, A040650.

Sequence in context: A189340 A189776 A189158 * A156854 A282590 A027550

Adjacent sequences:  A042298 A042299 A042300 * A042302 A042303 A042304

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Additional term from Colin Barker, Dec 07 2013

STATUS

approved

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Last modified June 29 08:41 EDT 2017. Contains 288859 sequences.