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A041221 Denominators of continued fraction convergents to sqrt(122). 3
1, 22, 485, 10692, 235709, 5196290, 114554089, 2525386248, 55673051545, 1227332520238, 27056988496781, 596481079449420, 13149640736384021, 289888577279897882, 6390698340894137425, 140885252076950921232, 3105866244033814404529, 68469942620820867820870 (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 (22,1).

FORMULA

a(n) = F(n, 22), the n-th Fibonacci polynomial evaluated at x=22. - T. D. Noe, Jan 19 2006

a(n) = 22*a(n-1)+a(n-2) for n>1, a(0)=1, a(1)=22. G.f.: 1/(1-22*x-x^2). [Philippe Deléham, Nov 21 2008]

MATHEMATICA

a=0; lst={}; s=0; Do[a=s-(a-1); AppendTo[lst, a]; s+=a*22, {n, 3*4!}]; lst (* Vladimir Joseph Stephan Orlovsky, Oct 27 2009 *)

Denominator[Convergents[Sqrt[122], 30]]  (* Vincenzo Librandi, Dec 13 2013 *)

CROSSREFS

Cf. A041220, A040110.

Sequence in context: A223970 A171296 A009966 * A041926 A230350 A180780

Adjacent sequences:  A041218 A041219 A041220 * A041222 A041223 A041224

KEYWORD

nonn,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 14 2013

STATUS

approved

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Last modified April 26 03:45 EDT 2017. Contains 285426 sequences.