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A042029 Denominators of continued fraction convergents to sqrt(538). 2
1, 5, 36, 41, 77, 580, 2977, 137522, 690587, 4971631, 5662218, 10633849, 80099161, 411129654, 18992063245, 95371445879, 686592184398, 781963630277, 1468555814675, 11061854333002, 56777827479685, 2622841918398512, 13170987419472245, 94819753854704227 (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, 138102, 0, 0, 0, 0, 0, 0, 1).

FORMULA

G.f.: -(x^12 -5*x^11 +36*x^10 -41*x^9 +77*x^8 -580*x^7 +2977*x^6 +580*x^5 +77*x^4 +41*x^3 +36*x^2 +5*x +1) / (x^14 +138102*x^7 -1). - Colin Barker, Nov 29 2013

MATHEMATICA

Denominator[Convergents[Sqrt[538], 30]] (* Vincenzo Librandi, Jan 12 2014 *)

CROSSREFS

Cf. A042028, A040514.

Sequence in context: A000871 A263882 A035416 * A073456 A275223 A003350

Adjacent sequences:  A042026 A042027 A042028 * A042030 A042031 A042032

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 29 2013

STATUS

approved

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Last modified May 26 02:35 EDT 2019. Contains 323579 sequences. (Running on oeis4.)