A042213 Denominators of continued fraction convergents to sqrt(632).

1, 7, 43, 308, 15443, 108409, 665897, 4769688, 239150297, 1678821767, 10312080899, 73863388060, 3703481483899, 25998233775353, 159692884136017, 1143848422727472, 57352114020509617, 402608646566294791, 2473003993418278363, 17713636600494243332

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,15486,0,0,0,-1).

Formula

G.f.: -(x^2 - 7*x - 1)*(x^4 + 44*x^2 + 1) / (x^8 - 15486*x^4 + 1). - Colin Barker, Dec 04 2013

Mathematica

Denominator[Convergents[Sqrt[632], 30]] (* Vincenzo Librandi, Jan 16 2014 *)
LinearRecurrence[{0, 0, 0, 15486, 0, 0, 0, -1}, {1, 7, 43, 308, 15443, 108409, 665897, 4769688}, 20] (* Harvey P. Dale, Nov 27 2020 *)

Crossrefs

Cf. A042212, A040606.

Sequence in context: A244938 A199483 A331236 * A193705 A164775 A127999

Adjacent sequences: A042210 A042211 A042212 * A042214 A042215 A042216

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 04 2013

Status

approved