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A041925 Denominators of continued fraction convergents to sqrt(485). 2
1, 44, 1937, 85272, 3753905, 165257092, 7275065953, 320268159024, 14099074063009, 620679526931420, 27323998259045489, 1202876602924932936, 52953894526956094673, 2331174235788993098548, 102624620269242652430785, 4517814466082465700053088 (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 (44, 1).

FORMULA

a(n) = F(n, 44), the n-th Fibonacci polynomial evaluated at x=44. - T. D. Noe, Jan 19 2006

From Philippe Deléham, Nov 23 2008: (Start)

a(n) = 44*a(n-1) + a(n-2) for n>1; a(0)=1, a(1)=44.

G.f.: 1/(1-44*x-x^2).  (End)

MATHEMATICA

a=0; lst={}; s=0; Do[a=s-(a-1); AppendTo[lst, a]; s+=a*44, {n, 3*4!}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 03 2009 *)

Denominator[Convergents[Sqrt[485], 20]] (* Harvey P. Dale, Oct 20 2011 *)

CoefficientList[Series[1/(1 - 44 x - x^2), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 27 2013 *)

CROSSREFS

Cf. A041924, A040462.

Sequence in context: A188751 A188871 A009988 * A094506 A121008 A250446

Adjacent sequences:  A041922 A041923 A041924 * A041926 A041927 A041928

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

Additional term from Colin Barker, Nov 27 2013

STATUS

approved

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Last modified November 24 07:58 EST 2017. Contains 295173 sequences.