A041591 Denominators of continued fraction convergents to sqrt(313).

1, 1, 3, 13, 146, 159, 305, 1074, 2453, 5980, 20393, 26373, 46766, 540799, 2209962, 4960723, 7170685, 248764013, 255934698, 760633409, 3298468334, 37043785083, 40342253417, 77386038500, 272500368917, 622386776334, 1517273921585, 5174208541089, 6691482462674

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, 253724736, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n) = 253724736*a(n-17) + a(n-34) for n>33. [Bruno Berselli, Dec 22 2013]

Mathematica

Denominator/@Convergents[Sqrt[313], 30]  (* Harvey P. Dale, Apr 23 2011 *)

Crossrefs

Cf. A041590.

Sequence in context: A180276 A054933 A130589 * A001150 A108554 A287029

Adjacent sequences: A041588 A041589 A041590 * A041592 A041593 A041594

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 21 2013

Status

approved