A041740 - OEIS

%I #14 May 01 2021 12:41:00

%S 19,20,59,79,3061,3140,9341,12481,483619,496100,1475819,1971919,

%T 76408741,78380660,233170061,311550721,12072097459,12383648180,

%U 36839393819,49223041999,1907314989781,1956538031780,5820391053341,7776929085121,301343696287939

%N Numerators of continued fraction convergents to sqrt(390).

%H Vincenzo Librandi, <a href="/A041740/b041740.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 (0,0,0,158,0,0,0,-1).

%F G.f.: -(x^7-19*x^6+20*x^5-59*x^4-79*x^3-59*x^2-20*x-19) / (x^8-158*x^4+1). - _Colin Barker_, Nov 11 2013

%t Numerator[Convergents[Sqrt[390], 30]] (* _Vincenzo Librandi_, Nov 07 2013 *)

%t LinearRecurrence[{0,0,0,158,0,0,0,-1},{19,20,59,79,3061,3140,9341,12481},30] (* _Harvey P. Dale_, May 01 2021 *)

%Y Cf. A041741.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 11 2013