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A042513 Denominators of continued fraction convergents to sqrt(785). 2
1, 56, 3137, 175728, 9843905, 551434408, 30890170753, 1730400996576, 96933345979009, 5429997775821080, 304176808791959489, 17039331290125552464, 954506729055822897473, 53469416158416207810952, 2995241811600363460310785, 167787010865778769985214912 (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 (56, 1).

FORMULA

a(n) = F(n, 56), the n-th Fibonacci polynomial evaluated at x=56. - T. D. Noe, Jan 19 2006

a(n) = 56*a(n-1)+a(n-2) for n>1, a(0)=1, a(1)=56. G.f.: 1/(1-56*x-x^2). [Philippe Deléham, Nov 23 2008]

MATHEMATICA

a=0; lst={}; s=0; Do[a = s-(a-1); AppendTo[lst, a]; s+=a*56, {n, 3*4!}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 03 2009 *)

Denominator[Convergents[Sqrt[785], 30]] (* Harvey P. Dale, Jun 26 2012 *)

CoefficientList[Series[1/(1 - 56 x - x^2), {x, 0, 25}], x] (* Vincenzo Librandi, Jan 23 2014 *)

CROSSREFS

Cf. A042512, A040756.

Sequence in context: A223990 A224388 A224021 * A264941 A216704 A278724

Adjacent sequences:  A042510 A042511 A042512 * A042514 A042515 A042516

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Additional term from Colin Barker, Dec 17 2013

STATUS

approved

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Last modified November 20 04:05 EST 2017. Contains 294959 sequences.