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A041619 Denominators of continued fraction convergents to sqrt(328). 2
1, 9, 325, 2934, 105949, 956475, 34539049, 311807916, 11259624025, 101648424141, 3670602893101, 33137074462050, 1196605283526901, 10802584626204159, 390089651826876625, 3521609451068093784 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
Andrew Howroyd, Table of n, a(n) for n = 0..200 (terms 0..56 from Vincenzo Librandi)
FORMULA
From Colin Barker, Jul 16 2012: (Start)
a(n) = 326*a(n-2)-a(n-4).
G.f.: -(x^2-9*x-1)/((x^2-18*x-1)*(x^2+18*x-1)).
(End)
MATHEMATICA
Denominator[Convergents[Sqrt[328], 30]] (* Harvey P. Dale, Mar 01 2012 *)
CoefficientList[Series[- (x^2 - 9 x - 1)/((x^2 - 18 x - 1)(x^2 + 18 x - 1)), {x, 0, 30}], x] (* Vincenzo Librandi, Oct 25 2013 *)
CROSSREFS
Cf. A041618.
Sequence in context: A211091 A124070 A203763 * A111968 A289196 A266907
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved

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Last modified March 28 04:13 EDT 2024. Contains 371235 sequences. (Running on oeis4.)