A042645 Denominators of continued fraction convergents to sqrt(852).

1, 5, 16, 37, 164, 365, 1259, 6660, 387539, 1944355, 6220604, 14385563, 63762856, 141911275, 489496681, 2589394680, 150674388121, 755961335285, 2418558393976, 5593078123237, 24790870886924, 55174819897085, 190315330578179, 1006751472787980

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, 0, 0, 0, 0, 388798, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^14 -5*x^13 +16*x^12 -37*x^11 +164*x^10 -365*x^9 +1259*x^8 -6660*x^7 -1259*x^6 -365*x^5 -164*x^4 -37*x^3 -16*x^2 -5*x -1) / (x^16 -388798*x^8 +1). - Colin Barker, Dec 20 2013

Mathematica

Denominator[Convergents[Sqrt[852], 30]] (* Vincenzo Librandi, Jan 26 2014 *)

Crossrefs

Cf. A042644, A040822.

Sequence in context: A022496 A296536 A041044 * A218259 A211807 A174723

Adjacent sequences: A042642 A042643 A042644 * A042646 A042647 A042648

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 20 2013

Status

approved