A042819 Denominators of continued fraction convergents to sqrt(940).

1, 1, 2, 3, 44, 47, 91, 138, 8371, 8509, 16880, 25389, 372326, 397715, 770041, 1167756, 70835401, 72003157, 142838558, 214841715, 3150622568, 3365464283, 6516086851, 9881551134, 599409154891, 609290706025, 1208699860916, 1817990566941, 26660567798090

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, 8462, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^2-x-1)*(x^4+3*x^2+1)*(x^8+46*x^4+1) / ((x^8-92*x^4+1)*(x^8+92*x^4+1)). - Colin Barker, Dec 24 2013

Mathematica

Denominator[Convergents[Sqrt[940], 30]] (* Vincenzo Librandi, Jan 30 2014 *)

Crossrefs

Cf. A042818, A040909.

Sequence in context: A317672 A352003 A356047 * A218002 A339058 A356565

Adjacent sequences: A042816 A042817 A042818 * A042820 A042821 A042822

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 24 2013

Status

approved