A041346 - OEIS

%I #14 Jun 13 2015 00:49:23

%S 13,14,41,547,1135,1682,44867,46549,137965,1840094,3818153,5658247,

%T 150932575,156590822,464114219,6190075669,12844265557,19034341226,

%U 507737137433,526771478659,1561280094751,20823412710422,43208105515595,64031518226017,1708027579392037

%N Numerators of continued fraction convergents to sqrt(187).

%H Vincenzo Librandi, <a href="/A041346/b041346.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 (0,0,0,0,0,3364,0,0,0,0,0,-1).

%F G.f.: -(x^11 -13*x^10 +14*x^9 -41*x^8 +547*x^7 -1135*x^6 -1682*x^5 -1135*x^4 -547*x^3 -41*x^2 -14*x -13) / (x^12 -3364*x^6 +1). - _Colin Barker_, Nov 06 2013

%t Numerator[Convergents[Sqrt[187], 30]] (* _Vincenzo Librandi_, Nov 01 2013 *)

%t LinearRecurrence[{0,0,0,0,0,3364,0,0,0,0,0,-1},{13,14,41,547,1135,1682,44867,46549,137965,1840094,3818153,5658247},30] (* _Harvey P. Dale_, Dec 22 2013 *)

%Y Cf. A041347.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 06 2013