A041569 Denominators of continued fraction convergents to sqrt(302).

1, 2, 3, 5, 8, 37, 82, 119, 1986, 2105, 6196, 26889, 33085, 59974, 93059, 246092, 8460187, 17166466, 25626653, 42793119, 68419772, 316472207, 701364186, 1017836393, 16986746474, 18004582867, 52995912208, 229988231699, 282984143907, 512972375606

Offset

0,2

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, 8553246, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 8553246*a(n-16) - a(n-32) for n>31. [Bruno Berselli, Dec 20 2013]

Mathematica

Denominator[Convergents[Sqrt[302], 40]] (* Harvey P. Dale, Dec 12 2012 *)

Crossrefs

Cf. A041568.

Sequence in context: A059359 A042069 A041008 * A268480 A128485 A042471

Adjacent sequences: A041566 A041567 A041568 * A041570 A041571 A041572

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 20 2013

Status

approved