A042599 Denominators of continued fraction convergents to sqrt(828).

1, 1, 4, 9, 31, 40, 2271, 2311, 9204, 20719, 71361, 92080, 5227841, 5319921, 21187604, 47695129, 164272991, 211968120, 12034487711, 12246455831, 48773855204, 109794166239, 378156353921, 487950520160, 27703385482881, 28191336003041, 112277393492004

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, 2302, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^10-x^9+4*x^8-9*x^7+31*x^6-40*x^5-31*x^4-9*x^3-4*x^2-x-1) / ((x^6-48*x^3+1)*(x^6+48*x^3+1)). - Colin Barker, Dec 19 2013

Mathematica

Table[ Denominator[ FromContinuedFraction[ ContinuedFraction[ Sqrt[828], n]]], {n, 25}] (* Robert G. Wilson v, Jun 15 2005 *)
Denominator[Convergents[Sqrt[828], 30]] (* Vincenzo Librandi, Jan 25 2014 *)

Crossrefs

Cf. A042598, A040799.

Sequence in context: A377288 A364239 A041137 * A206960 A145543 A141043

Adjacent sequences: A042596 A042597 A042598 * A042600 A042601 A042602

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 19 2013

Status

approved