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A041313 Denominators of continued fraction convergents to sqrt(170). 2
1, 26, 677, 17628, 459005, 11951758, 311204713, 8103274296, 210996336409, 5494008020930, 143055204880589, 3724929334916244, 96991217912702933, 2525496595065192502, 65759902689607707985, 1712282966524865600112, 44585117032336113310897 (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 (26,1).

FORMULA

a(n) = F(n, 26), the n-th Fibonacci polynomial evaluated at x=26. - T. D. Noe, Jan 19 2006

a(n) = 26*a(n-1) + a(n-2) for n>1, a(0)=1, a(1)=26. G.f.: 1/(1-26*x-^2). [Philippe Deléham, Nov 21 2008]

MATHEMATICA

a=0; lst={}; s=0; Do[a=s-(a-1); AppendTo[lst, a]; s+=a*26, {n, 3*4!}]; lst [ Vladimir Joseph Stephan Orlovsky, Oct 27 2009]

Denominator[Convergents[Sqrt[170], 30]] (* Vincenzo Librandi, Dec 15 2013 *)

CROSSREFS

Cf. A041312, A040156.

Sequence in context: A188697 A188696 A009970 * A042302 A031423 A097835

Adjacent sequences:  A041310 A041311 A041312 * A041314 A041315 A041316

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

An additional term from Colin Barker, Nov 15 2013

STATUS

approved

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Last modified March 24 07:54 EDT 2017. Contains 283985 sequences.