A042289 Denominators of continued fraction convergents to sqrt(670).

1, 1, 8, 9, 17, 26, 147, 1496, 7627, 9123, 16750, 25873, 197861, 223734, 11384561, 11608295, 92642626, 104250921, 196893547, 301144468, 1702615887, 17327303338, 88339132577, 105666435915, 194005568492, 299672004407, 2291709599341, 2591381603748

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, 11582422, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 11582422*a(n-14) - a(n-28) for n>27. - Vincenzo Librandi, Jan 19 2014

Mathematica

Denominator[Convergents[Sqrt[670], 30]] (* Vincenzo Librandi, Jan 19 2014 *)

Crossrefs

Cf. A042288.

Sequence in context: A129659 A041130 A041307 * A041132 A020693 A042753

Adjacent sequences: A042286 A042287 A042288 * A042290 A042291 A042292

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Vincenzo Librandi, Jan 19 2014

Status

approved