A042347 Denominators of continued fraction convergents to sqrt(700).

1, 2, 11, 24, 35, 59, 94, 153, 1930, 2083, 4013, 6096, 10109, 26314, 141679, 309672, 16244623, 32798918, 180239213, 393277344, 573516557, 966793901, 1540310458, 2507104359, 31625562766, 34132667125, 65758229891, 99890897016, 165649126907, 431189150830

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, 0, 0, 0, 0, 0, 0, 0, 0, 16386302, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 16386302*a(n-16) - a(n-32) for n>31. - Vincenzo Librandi, Jan 20 2014

Mathematica

Denominator[Convergents[Sqrt[700], 30]] (* Vincenzo Librandi, Jan 20 2014 *)

Crossrefs

Cf. A042346.

Sequence in context: A078699 A291679 A239741 * A193245 A041803 A220281

Adjacent sequences: A042344 A042345 A042346 * A042348 A042349 A042350

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 20 2014

Status

approved