A042731 Denominators of continued fraction convergents to sqrt(895).

1, 1, 11, 12, 707, 719, 7897, 8616, 507625, 516241, 5670035, 6186276, 364474043, 370660319, 4071077233, 4441737552, 261691855249, 266133592801, 2923027783259, 3189161376060, 187894387594739, 191083548970799, 2098729877302729, 2289813426273528

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, 718, 0, 0, 0, -1).

Formula

G.f.: -(x^2-x-1)*(x^4+12*x^2+1) / (x^8-718*x^4+1). - Colin Barker, Dec 22 2013

Mathematica

Denominator[Convergents[Sqrt[895], 30]] (* Vincenzo Librandi, Jan 27 2014 *)
LinearRecurrence[{0, 0, 0, 718, 0, 0, 0, -1}, {1, 1, 11, 12, 707, 719, 7897, 8616}, 30] (* Harvey P. Dale, Oct 15 2021 *)

Crossrefs

Cf. A042730, A040865.

Sequence in context: A041607 A042097 A056684 * A087304 A340204 A121808

Adjacent sequences: A042728 A042729 A042730 * A042732 A042733 A042734

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 22 2013

Status

approved