A042541 Denominators of continued fraction convergents to sqrt(799).

1, 3, 4, 15, 844, 2547, 3391, 12720, 715711, 2159853, 2875564, 10786545, 606922084, 1831552797, 2438474881, 9146977440, 514669211521, 1553154612003, 2067823823524, 7756626082575, 436438884447724, 1317073279425747, 1753512163873471, 6577609771046160

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, 848, 0, 0, 0, -1).

Formula

G.f.: -(x^2-3*x-1)*(x^4+5*x^2+1) / (x^8-848*x^4+1). - Colin Barker, Dec 17 2013

Mathematica

Denominator[Convergents[Sqrt[799], 30]] (* Vincenzo Librandi, Jan 23 2014 *)

Crossrefs

Cf. A042540, A040770.

Sequence in context: A354395 A103095 A041325 * A325212 A329890 A334319

Adjacent sequences: A042538 A042539 A042540 * A042542 A042543 A042544

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 17 2013

Status

approved