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A042121 Denominators of continued fraction convergents to sqrt(585). 2
1, 5, 11, 16, 75, 91, 257, 1376, 66305, 332901, 732107, 1065008, 4992139, 6057147, 17106433, 91589312, 4413393409, 22158556357, 48730506123, 70889062480, 332286756043, 403175818523, 1138638393089, 6096367783968, 293764292023553, 1474917827901733 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,66562,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^14 -5*x^13 +11*x^12 -16*x^11 +75*x^10 -91*x^9 +257*x^8 -1376*x^7 -257*x^6 -91*x^5 -75*x^4 -16*x^3 -11*x^2 -5*x -1) / ((x^4 -16*x^2 -1)*(x^4 +16*x^2 -1)*(x^8 +258*x^4 +1)). - Colin Barker, Dec 02 2013

a(n) = 66562*a(n-8) - a(n-16) for n>15. - Vincenzo Librandi, Jan 15 2014

MATHEMATICA

Denominator[Convergents[Sqrt[585], 30] (* Vincenzo Librandi, Jan 15 2014 *)

CROSSREFS

Cf. A042120, A040560.

Sequence in context: A041117 A041491 A058025 * A123082 A084037 A077130

Adjacent sequences:  A042118 A042119 A042120 * A042122 A042123 A042124

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 02 2013

STATUS

approved

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Last modified May 10 21:07 EDT 2021. Contains 343780 sequences. (Running on oeis4.)