A042305 Denominators of continued fraction convergents to sqrt(679).

1, 17, 35, 52, 295, 2412, 2707, 5119, 130682, 135801, 266483, 2267665, 11604808, 13872473, 39349754, 682818291, 35545900886, 604963133353, 1245472167592, 1850435300945, 10497648672317, 85831624679481, 96329273351798, 182160898031279, 4650351724133773

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, 35585250640, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 35585250640*a(n-16) - a(n-32) for n>31. - Vincenzo Librandi, Jan 19 2014

Mathematica

Denominator[Convergents[Sqrt[679], 30]] (* Vincenzo Librandi, Jan 19 2014 *)

Crossrefs

Cf. A042304.

Sequence in context: A360573 A271536 A041568 * A041566 A004921 A239129

Adjacent sequences: A042302 A042303 A042304 * A042306 A042307 A042308

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 19 2014

Status

approved