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A041365 Denominators of continued fraction convergents to sqrt(197). 2
1, 28, 785, 22008, 617009, 17298260, 484968289, 13596410352, 381184458145, 10686761238412, 299610499133681, 8399780736981480, 235493471134615121, 6602216972506204868, 185097568701308351425, 5189334140609140044768 (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 (28,1).

FORMULA

a(n) = F(n, 28), the n-th Fibonacci polynomial evaluated at x=28. - T. D. Noe, Jan 19 2006

From Philippe Deléham, Nov 21 2008: (Start)

a(n) = 28*a(n-1) + a(n-2), n > 1; a(0)= 1, a(1)=28.

G.f.: 1/(1-28*x-x^2). (End)

MATHEMATICA

a=0; lst={}; s=0; Do[a=s-(a-1); AppendTo[lst, a]; s+=a*28, {n, 3*4!}]; lst (* Vladimir Joseph Stephan Orlovsky, Oct 27 2009 *)

Denominator[Convergents[Sqrt[197], 30]] (* Vincenzo Librandi, Dec 16 2013 *)

LinearRecurrence[{28, 1}, {1, 28}, 20] (* Harvey P. Dale, Mar 07 2021 *)

CROSSREFS

Cf. A041364, A040182.

Sequence in context: A267732 A009972 A114037 * A042514 A158659 A214133

Adjacent sequences:  A041362 A041363 A041364 * A041366 A041367 A041368

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

Additional term from Colin Barker, Nov 16 2013

STATUS

approved

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Last modified April 13 03:43 EDT 2021. Contains 342934 sequences. (Running on oeis4.)