A041604 Numerators of continued fraction convergents to sqrt(320).

17, 18, 143, 161, 5617, 5778, 46063, 51841, 1808657, 1860498, 14832143, 16692641, 582381937, 599074578, 4775903983, 5374978561, 187525175057, 192900153618, 1537826250383, 1730726404001, 60382523986417, 62113250390418, 495175276719343, 557288527109761

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,322,0,0,0,-1).

Formula

G.f.: -(x^7-17*x^6+18*x^5-143*x^4-161*x^3-143*x^2-18*x-17) / ((x^2-4*x-1)*(x^2+4*x-1)*(x^4+18*x^2+1)). - Colin Barker, Nov 09 2013

Mathematica

Numerator[Convergents[Sqrt[320], 30]] (* Harvey P. Dale, Mar 10 2013 *)

Crossrefs

Cf. A041605.

Sequence in context: A041598 A344138 A041602 * A041606 A140142 A197351

Adjacent sequences: A041601 A041602 A041603 * A041605 A041606 A041607

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 09 2013

Status

approved