A042125 Denominators of continued fraction convergents to sqrt(587).

1, 4, 9, 13, 22, 35, 57, 1346, 1403, 2749, 4152, 6901, 17954, 78717, 3796370, 15264197, 34324764, 49588961, 83913725, 133502686, 217416411, 5134080139, 5351496550, 10485576689, 15837073239, 26322649928, 68482373095, 300252142308, 14480585203879, 58222592957824

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, 3814324, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 3814324*a(n-14) - a(n-28) for n>27, - Vincenzo Librandi, Jan 15 2014

Mathematica

Denominator[Convergents[Sqrt[587], 30]] (* Vincenzo Librandi, Jan 15 2014 *)

Crossrefs

Cf. A042124.

Sequence in context: A240692 A345743 A022130 * A041905 A098004 A257337

Adjacent sequences: A042122 A042123 A042124 * A042126 A042127 A042128

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 15 2014

Status

approved