A042463 Denominators of continued fraction convergents to sqrt(759).

1, 1, 2, 9, 11, 20, 1091, 1111, 2202, 9919, 12121, 22040, 1202281, 1224321, 2426602, 10930729, 13357331, 24288060, 1324912571, 1349200631, 2674113202, 12045653439, 14719766641, 26765420080, 1460052450961, 1486817871041, 2946870322002, 13274299159049

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1102,0,0,0,0,0,-1).

Formula

G.f.: -(x^4 - x^3 + 2*x^2 + x + 1)*(x^6 - 10*x^3 - 1) / (x^12 - 1102*x^6 + 1). - Colin Barker, Dec 14 2013

Mathematica

Denominator[Convergents[Sqrt[759], 30]] (* Vincenzo Librandi, Jan 23 2014 *)

Crossrefs

Cf. A042462, A040731.

Sequence in context: A022114 A041099 A041581 * A081613 A115911 A065596

Adjacent sequences: A042460 A042461 A042462 * A042464 A042465 A042466

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 14 2013

Status

approved