A042159 Denominators of continued fraction convergents to sqrt(604).

1, 1, 2, 5, 7, 26, 59, 85, 144, 229, 373, 602, 2781, 3383, 19696, 62471, 581935, 644406, 1226341, 19039521, 20265862, 140634693, 1707882178, 10387927761, 12095809939, 191825076846, 203920886785, 395745963631, 3765634559464, 11692649642023, 62228882769579

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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11945982592623366398, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 11945982592623366398*a(n-44) - a(n-88). - Wesley Ivan Hurt, Feb 14 2026

Mathematica

Denominator[Convergents[Sqrt[604], 30]] (* Vincenzo Librandi, Jan 16 2014 *)

Crossrefs

Cf. A042158.

Sequence in context: A383504 A056921 A041245 * A071898 A002317 A343596

Adjacent sequences: A042156 A042157 A042158 * A042160 A042161 A042162

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Vincenzo Librandi, Jan 16 2014

Status

approved