A042337 Denominators of continued fraction convergents to sqrt(695).

1, 2, 3, 11, 113, 350, 463, 1276, 66815, 134906, 201721, 740069, 7602411, 23547302, 31149713, 85846728, 4495179569, 9076205866, 13571385435, 49790362171, 511475007145, 1584215383606, 2095690390751, 5775596165108, 302426690976367, 610628978117842

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,67278,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^14 -2*x^13 +3*x^12 -11*x^11 +113*x^10 -350*x^9 +463*x^8 -1276*x^7 -463*x^6 -350*x^5 -113*x^4 -11*x^3 -3*x^2 -2*x -1) / (x^16 -67278*x^8 +1). - Colin Barker, Dec 08 2013

Mathematica

Denominator[Convergents[Sqrt[695], 30]] (* Vincenzo Librandi, Jan 20 2014 *)

Crossrefs

Cf. A042336, A040668.

Sequence in context: A358602 A050721 A058114 * A061482 A177854 A273598

Adjacent sequences: A042334 A042335 A042336 * A042338 A042339 A042340

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 08 2013

Status

approved