A042597 Denominators of continued fraction convergents to sqrt(827).

1, 1, 4, 29, 33, 920, 953, 7591, 23726, 31317, 1777478, 1808795, 7203863, 52235836, 59439699, 1657107709, 1716547408, 13672939565, 42735366103, 56408305668, 3201600483511, 3258008789179, 12975626851048, 94087396746515, 107063023597563, 2984789033880716

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, 0, 0, 1801204, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^18 -x^17 +4*x^16 -29*x^15 +33*x^14 -920*x^13 +953*x^12 -7591*x^11 +23726*x^10 -31317*x^9 -23726*x^8 -7591*x^7 -953*x^6 -920*x^5 -33*x^4 -29*x^3 -4*x^2 -x -1) / (x^20 -1801204*x^10 +1). - Colin Barker, Dec 19 2013

Mathematica

Denominator[Convergents[Sqrt[827], 30]] (* Vincenzo Librandi, Jan 25 2014 *)

Crossrefs

Cf. A042596, A040798.

Sequence in context: A339266 A247278 A278823 * A255635 A280854 A042379

Adjacent sequences: A042594 A042595 A042596 * A042598 A042599 A042600

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 19 2013

Status

approved