A042058 Numerators of continued fraction convergents to sqrt(553).

23, 24, 47, 729, 3692, 4421, 21376, 47173, 68549, 115722, 415715, 531437, 1478589, 9402971, 20284531, 29687502, 109347037, 139034539, 248381576, 635797691, 2791572340, 3427370031, 19928422495

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, 1249271674814, 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) = 1249271674814*a(n-26) - a(n-52). - Wesley Ivan Hurt, Sep 05 2022

Mathematica

Numerator[Convergents[Sqrt[553], 30]] (* Vincenzo Librandi, Nov 14 2013 *)

Crossrefs

Cf. A042059.

Sequence in context: A042064 A042062 A042060 * A045859 A042078 A042080

Adjacent sequences: A042055 A042056 A042057 * A042059 A042060 A042061

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Status

approved