A041585 Denominators of continued fraction convergents to sqrt(310).

1, 1, 2, 3, 5, 28, 89, 117, 323, 440, 1643, 8655, 10298, 18953, 29251, 48204, 1668187, 1716391, 3384578, 5100969, 8485547, 47528704, 151071659, 198600363, 548272385, 746872748, 2788890629, 14691325893, 17480216522, 32171542415, 49651758937, 81823301352

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, 1697438, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 1697438*a(n-16) - a(n-32) for n>31. [Bruno Berselli, Dec 20 2013]

Mathematica

Denominator[Convergents[Sqrt[310], 30]] (* Vincenzo Librandi, Dec 20 2013 *)

Crossrefs

Cf. A041584.

Sequence in context: A078736 A042669 A178376 * A042935 A102926 A084598

Adjacent sequences: A041582 A041583 A041584 * A041586 A041587 A041588

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 20 2013

Status

approved