A041977 Denominators of continued fraction convergents to sqrt(511).

1, 1, 2, 3, 5, 33, 38, 565, 2298, 2863, 62421, 65284, 323557, 4595082, 4918639, 34106916, 39025555, 73132471, 112158026, 185290497, 8264939894, 8450230391, 16715170285, 25165400676, 41880570961, 276448826442, 318329397403, 4733060390084, 19250570957739

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, 8377097920, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 8377097920*a(n-20) - a(n-40) for n>39. [Bruno Berselli, Jan 11 2014]

Mathematica

Denominator[Convergents[Sqrt[511], 30]] (* Vincenzo Librandi, Jan 11 2014 *)

Crossrefs

Cf. A041976.

Sequence in context: A241722 A276043 A041019 * A362640 A261130 A271387

Adjacent sequences: A041974 A041975 A041976 * A041978 A041979 A041980

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 11 2014

Status

approved