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A042625 Denominators of continued fraction convergents to sqrt(842). 2
1, 58, 3365, 195228, 11326589, 657137390, 38125295209, 2211924259512, 128329732346905, 7445336400380002, 431957840954387021, 25061000111754827220, 1453969964322734365781, 84355318930830348042518, 4894062467952482920831825, 283939978460174839756288368 (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 (58, 1).

FORMULA

a(n) = F(n, 58), the n-th Fibonacci polynomial evaluated at x=58. - T. D. Noe, Jan 19 2006

From Philippe Deléham, Nov 23 2008: (Start)

a(n) = 58*a(n-1) + a(n-2) for n>1; a(0)=1, a(1)=58.

G.f.: 1/(1 - 58*x - x^2).

(End)

MATHEMATICA

a=0; lst={}; s=0; Do[a=s-(a-1); AppendTo[lst, a]; s+=a*58, {n, 3*4!}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 03 2009 *)

Denominator[Convergents[Sqrt[842], 30]] (* Vincenzo Librandi, Jan 26 2014 *)

CROSSREFS

Cf. A042624, A040812.

Sequence in context: A207278 A207474 A207530 * A250919 A282438 A128934

Adjacent sequences:  A042622 A042623 A042624 * A042626 A042627 A042628

KEYWORD

nonn,frac,easy,changed

AUTHOR

N. J. A. Sloane

EXTENSIONS

Additional term from Colin Barker, Dec 20 2013

STATUS

approved

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Last modified March 23 20:21 EDT 2017. Contains 283957 sequences.