A042388 Numerators of continued fraction convergents to sqrt(721).

26, 27, 161, 188, 537, 725, 1987, 2712, 4699, 7411, 12110, 19521, 31631, 557248, 1703375, 2260623, 3963998, 41900603, 213467013, 255367616, 1745672709, 2001040325, 11750874334, 119509783665

Offset

0,1

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, 37264353886584830, 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).

Mathematica

Numerator[Convergents[ContinuedFraction[Sqrt[721], 25]]]  (* Harvey P. Dale, Feb 09 2011 *)
Numerator[Convergents[Sqrt[721], 30]] (* Vincenzo Librandi, Nov 23 2013 *)

Crossrefs

Cf. A042389.

Sequence in context: A042378 A042386 A042384 * A042390 A042392 A136923

Adjacent sequences: A042385 A042386 A042387 * A042389 A042390 A042391

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved