A042823 Denominators of continued fraction convergents to sqrt(942).

1, 1, 3, 13, 263, 1065, 2393, 3458, 209873, 213331, 636535, 2759471, 55825955, 226063291, 507952537, 734015828, 44548902217, 45282918045, 135114738307, 585741871273, 11849952163767, 47985550526341, 107821053216449, 155806603742790, 9456217277783849

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, 212266, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^14 -x^13 +3*x^12 -13*x^11 +263*x^10 -1065*x^9 +2393*x^8 -3458*x^7 -2393*x^6 -1065*x^5 -263*x^4 -13*x^3 -3*x^2 -x -1) / (x^16 -212266*x^8 +1). - Colin Barker, Dec 24 2013

Mathematica

Denominator[Convergents[Sqrt[942], 30]] (* Vincenzo Librandi, Jan 30 2014 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 212266, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 1, 3, 13, 263, 1065, 2393, 3458, 209873, 213331, 636535, 2759471, 55825955, 226063291, 507952537, 734015828}, 30] (* Harvey P. Dale, Jul 14 2023 *)

Crossrefs

Cf. A042822, A040911.

Sequence in context: A220294 A006487 A240618 * A132560 A128385 A100524

Adjacent sequences: A042820 A042821 A042822 * A042824 A042825 A042826

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 24 2013

Status

approved