A041618 - OEIS

%I #16 Aug 21 2020 13:50:40

%S 18,163,5886,53137,1918818,17322499,625528782,5647081537,203920464114,

%T 1840931258563,66477445772382,600137943210001,21671443401332418,

%U 195643128555201763,7064824071388595886

%N Numerators of continued fraction convergents to sqrt(328).

%H Vincenzo Librandi, <a href="/A041618/b041618.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,326,0,-1).

%F a(n) = 326*a(n-2)-a(n-4). G.f.: -(x^3-18*x^2-163*x-18)/((x^2-18*x-1)*(x^2+18*x-1)). [_Colin Barker_, Jul 16 2012]

%t CoefficientList[Series[- (x^3 - 18 x^2 - 163 x - 18)/((x^2 - 18 x - 1) (x^2 + 18 x - 1)), {x, 0, 30}], x] (* _Vincenzo Librandi_, Oct 27 2013 *)

%t LinearRecurrence[{0,326,0,-1},{18,163,5886,53137},20] (* _Harvey P. Dale_, Aug 21 2020 *)

%Y Cf. A041619.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.