A042029 Denominators of continued fraction convergents to sqrt(538).

1, 5, 36, 41, 77, 580, 2977, 137522, 690587, 4971631, 5662218, 10633849, 80099161, 411129654, 18992063245, 95371445879, 686592184398, 781963630277, 1468555814675, 11061854333002, 56777827479685, 2622841918398512, 13170987419472245, 94819753854704227

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

a(n) = 138102*a(n-7) + a(n-14). - Wesley Ivan Hurt, Sep 05 2022

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