A042149 - OEIS

A042149

Denominators of continued fraction convergents to sqrt(599).

1, 2, 19, 59, 137, 196, 333, 1195, 1528, 10363, 42980, 53343, 149666, 203009, 4818873, 5021882, 14862637, 19884519, 94400713, 586288797, 680689510, 2628357327, 3309046837, 5937404164, 15183855165, 51488969659, 478584582096, 1008658133851, 48894175006944

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

COMMENTS

The number 203009 appears in the identity: (203009)^2 + (103018)^2 = 5*(101809)^2 [From sparling (gnilraps(AT)gmail.com), Mar 27 2010]

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 49372759589040, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

MATHEMATICA

Denominator[Convergents[Sqrt[599], 30]] (* Vincenzo Librandi, Jan 15 2014 *)

CROSSREFS

Cf. A042148.

Sequence in context: A340558 A140544 A204219 * A218547 A365494 A232537

Adjacent sequences: A042146 A042147 A042148 * A042150 A042151 A042152

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Vincenzo Librandi, Jan 15 2014

STATUS

approved