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A041727 Denominators of continued fraction convergents to sqrt(383). 2
1, 1, 2, 7, 135, 412, 547, 959, 36989, 37948, 74937, 262759, 5067358, 15464833, 20532191, 35997024, 1388419103, 1424416127, 2812835230, 9862921817, 190208349753, 580487971076, 770696320829, 1351184291905, 52115699413219, 53466883705124, 105582583118343 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 37536, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^14 -x^13 +2*x^12 -7*x^11 +135*x^10 -412*x^9 +547*x^8 -959*x^7 -547*x^6 -412*x^5 -135*x^4 -7*x^3 -2*x^2 -x -1) / (x^16 -37536*x^8 +1). - Colin Barker, Nov 22 2013

a(n) = 37536*a(n-8) - a(n-16) for n>15. - Vincenzo Librandi, Dec 23 2013

MAPLE

convert(sqrt(383), confrac, 30, cvgts): denom(cvgts); # Wesley Ivan Hurt, Dec 23 2013

MATHEMATICA

Denominator[Convergents[Sqrt[383], 40]] (* Harvey P. Dale, May 02 2012 *)

CoefficientList[Series[-(x^14 - x^13 + 2 x^12 - 7 x^11 + 135 x^10 - 412 x^9 + 547 x^8 - 959 x^7 - 547 x^6 - 412 x^5 - 135 x^4 - 7 x^3 - 2 x^2 - x - 1)/(x^16 - 37536 x^8 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 23 2013 *)

CROSSREFS

Cf. A041726, A040363.

Sequence in context: A000889 A323597 A286423 * A120379 A101799 A201172

Adjacent sequences:  A041724 A041725 A041726 * A041728 A041729 A041730

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 22 2013

STATUS

approved

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Last modified October 25 05:57 EDT 2021. Contains 348239 sequences. (Running on oeis4.)