A042733 Denominators of continued fraction convergents to sqrt(896).

1, 1, 14, 15, 884, 899, 12571, 13470, 793831, 807301, 11288744, 12096045, 712859354, 724955399, 10137279541, 10862234940, 640146906061, 651009141001, 9103265739074, 9754274880075, 574851208783424, 584605483663499, 8174722496408911, 8759327980072410

Offset

0,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,898,0,0,0,-1).

Formula

G.f.: -(x^2-x-1)*(x^4+15*x^2+1) / ((x^4-30*x^2+1)*(x^4+30*x^2+1)). - Colin Barker, Dec 22 2013

Mathematica

Denominator[Convergents[Sqrt[896], 30]] (* Vincenzo Librandi, Jan 27 2014 *)
LinearRecurrence[{0, 0, 0, 898, 0, 0, 0, -1}, {1, 1, 14, 15, 884, 899, 12571, 13470}, 30] (* Harvey P. Dale, Apr 13 2016 *)

Crossrefs

Cf. A042732, A040866.

Sequence in context: A041416 A041417 A041418 * A225758 A351866 A043663

Adjacent sequences: A042730 A042731 A042732 * A042734 A042735 A042736

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 22 2013

Status

approved