A042167 Denominators of continued fraction convergents to sqrt(608).

1, 1, 2, 3, 35, 38, 73, 111, 5401, 5512, 10913, 16425, 191588, 208013, 399601, 607614, 29565073, 30172687, 59737760, 89910447, 1048752677, 1138663124, 2187415801, 3326078925, 161839204201, 165165283126, 327004487327, 492169770453, 5740871962310

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, 5474, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^2 - x - 1)*(x^4 + 3*x^2 + 1)*(x^8 + 37*x^4 + 1) / ((x^8 - 74*x^4 + 1)*(x^8 + 74*x^4 + 1)). - Colin Barker, Dec 03 2013

Mathematica

Denominator[Convergents[Sqrt[608], 30]] (* Vincenzo Librandi, Jan 16 2014 *)

Crossrefs

Cf. A042166, A040583.

Sequence in context: A195030 A347338 A092981 * A126910 A143887 A363499

Adjacent sequences: A042164 A042165 A042166 * A042168 A042169 A042170

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 03 2013

Status

approved