A041360 - OEIS

%I #14 May 20 2019 10:30:22

%S 13,14,181,195,5251,5446,70603,76049,2047877,2123926,27534989,

%T 29658915,798666779,828325694,10738575107,11566900801,311477995933,

%U 323044896734,4188016756741,4511061653475,121475619747091,125986681400566,1633315796553883,1759302477954449

%N Numerators of continued fraction convergents to sqrt(194).

%H Vincenzo Librandi, <a href="/A041360/b041360.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 (0,0,0,390,0,0,0,-1).

%F G.f.: -(x^7-13*x^6+14*x^5-181*x^4-195*x^3-181*x^2-14*x-13) / (x^8-390*x^4+1). - _Colin Barker_, Nov 07 2013

%t Numerator[Convergents[Sqrt[194], 30]] (* _Vincenzo Librandi_, Nov 01 2013 *)

%t LinearRecurrence[{0,0,0,390,0,0,0,-1},{13,14,181,195,5251,5446,70603,76049},40] (* _Harvey P. Dale_, May 20 2019 *)

%Y Cf. A041361.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 07 2013