%I #20 Sep 08 2022 08:44:55
%S 1,1,2,7,37,44,257,815,1072,1887,102970,104857,207827,728338,3849517,
%T 4577855,26738792,84794231,111533023,196327254,10713204739,
%U 10909531993,21622736732,75777742189,400511447677,476289189866,2781957397007,8822161380887,11604118777894
%N Denominators of continued fraction convergents to sqrt(760).
%H Vincenzo Librandi, <a href="/A042465/b042465.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 104042, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
%F G.f.: -(x^18 -x^17 +2*x^16 -7*x^15 +37*x^14 -44*x^13 +257*x^12 -815*x^11 +1072*x^10 -1887*x^9 -1072*x^8 -815*x^7 -257*x^6 -44*x^5 -37*x^4 -7*x^3 -2*x^2 -x -1) / (x^20 -104042*x^10 +1). - _Colin Barker_, Dec 14 2013
%F a(n) = 104042*a(n-10) - a(n-20) for n>19. - _Vincenzo Librandi_, Jan 23 2014
%t Denominator[Convergents[Sqrt[760], 40]] (* _Harvey P. Dale_, Nov 03 2011 *)
%o (Magma) I:=[1,1,2,7,37,44,257,815,1072,1887,102970, 104857,207827,728338,3849517,4577855,26738792,84794231, 111533023,196327254]; [n le 20 select I[n] else 104042*Self(n-10)-Self(n-20): n in [1..40]]; // _Vincenzo Librandi_, Jan 24 2014
%Y Cf. A042464, A040732.
%K nonn,frac,easy
%O 0,3
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Dec 14 2013