A042627 Denominators of continued fraction convergents to sqrt(843).

1, 29, 1683, 48836, 2834171, 82239795, 4772742281, 138491765944, 8037295167033, 233220051609901, 13534800288541291, 392742428419307340, 22792595648608367011, 661378016238061950659, 38382717537456201505233, 1113760186602467905602416

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, 1684, 0, -1).

Formula

G.f.: -(x^2-29*x-1) / (x^4-1684*x^2+1). - Colin Barker, Dec 20 2013

Mathematica

Denominator[Convergents[Sqrt[843], 30]] (* Vincenzo Librandi, Jan 26 2014 *)

Crossrefs

Cf. A042626, A040813.

Sequence in context: A126555 A028478 A370679 * A042624 A190826 A045688

Adjacent sequences: A042624 A042625 A042626 * A042628 A042629 A042630

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

Additional term from Colin Barker, Dec 20 2013

Status

approved