A042709 Denominators of continued fraction convergents to sqrt(884).

1, 1, 3, 4, 11, 15, 41, 56, 3289, 3345, 9979, 13324, 36627, 49951, 136529, 186480, 10952369, 11138849, 33230067, 44368916, 121967899, 166336815, 454641529, 620978344, 36471385481, 37092363825, 110656113131, 147748476956, 406153067043, 553901543999

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,3330,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^2-x-1)*(x^4-2*x^3+2*x^2+2*x+1)*(x^4+4*x^2+1)*(x^4+2*x^3+2*x^2-2*x+1) / (x^16-3330*x^8+1). - Colin Barker, Nov 19 2013

Mathematica

Denominator[Convergents[Sqrt[884], 30]] (* Vincenzo Librandi, Nov 17 2011 *)

Crossrefs

Cf. A042708, A040854.

Sequence in context: A042483 A378260 A002530 * A231067 A042327 A046114

Adjacent sequences: A042706 A042707 A042708 * A042710 A042711 A042712

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Nov 19 2013

Status

approved