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

Author

N. J. A. Sloane

Keywords

• nonn
• frac
• easy

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).

Crossrefs

Cf. A041590.

Programs

Mathematica

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

Formula

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

Extensions

More terms from Vincenzo Librandi, Dec 21 2013