A042293 Denominators of continued fraction convergents to sqrt(672).

1, 1, 12, 13, 662, 675, 8087, 8762, 446187, 454949, 5450626, 5905575, 300729376, 306634951, 3673713837, 3980348788, 202691153237, 206671502025, 2476077675512, 2682749177537, 136613536552362, 139296285729899, 1668872679581251, 1808168965311150

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,674,0,0,0,-1).

Formula

G.f.: -(x^2-x-1)*(x^4+13*x^2+1) / ((x^4-26*x^2+1)*(x^4+26*x^2+1)). - Colin Barker, Dec 07 2013

Mathematica

Denominator[Convergents[Sqrt[672], 30]] (* Vincenzo Librandi, Jan 19 2014 *)

Crossrefs

Cf. A042292, A040646.

Sequence in context: A275959 A066321 A099415 * A061097 A121288 A075477

Adjacent sequences: A042290 A042291 A042292 * A042294 A042295 A042296

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 07 2013

Status

approved