A042059 Denominators of continued fraction convergents to sqrt(553).

1, 1, 2, 31, 157, 188, 909, 2006, 2915, 4921, 17678, 22599, 62876, 399855, 862586, 1262441, 4649909, 5912350, 10562259, 27036868, 118709731, 145746599, 847442726, 12857387489, 13704830215, 26562217704, 1235566844599, 1262129062303, 2497695906902, 38727567665833

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, 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

Denominator[Convergents[Sqrt[553], 30]] (* Vincenzo Librandi, Jan 13 2014 *)

Crossrefs

Cf. A042058.

Sequence in context: A291052 A267888 A229014 * A343830 A137626 A134179

Adjacent sequences: A042056 A042057 A042058 * A042060 A042061 A042062

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 13 2014

Status

approved