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%I #14 Sep 08 2022 08:44:54
%S 1,4,5,14,33,47,221,6235,25161,31396,87953,207302,295255,1388322,
%T 39168271,158061406,197229677,552520760,1302271197,1854791957,
%U 8721439025,246055084657,992941777653,1238996862310,3470935502273,8180867866856,11651803369129
%N Denominators of continued fraction convergents to sqrt(202).
%H Vincenzo Librandi, <a href="/A041375/b041375.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 (0,0,0,0,0,0,6282,0,0,0,0,0,0,1).
%F G.f.: -(x^12 -4*x^11 +5*x^10 -14*x^9 +33*x^8 -47*x^7 +221*x^6 +47*x^5 +33*x^4 +14*x^3 +5*x^2 +4*x +1) / (x^14 +6282*x^7 -1). - _Colin Barker_, Nov 16 2013
%F a(n) = 6282*a(n-7) + a(n-14). - _Vincenzo Librandi_, Dec 16 2013
%t Denominator[Convergents[Sqrt[202], 30]] (* _Vincenzo Librandi_, Dec 16 2013 *)
%o (Magma) I:=[1,4,5,14,33,47,221,6235,25161,31396,87953, 207302,295255,1388322]; [n le 14 select I[n] else 6282*Self(n-7)+Self(n-14): n in [1..40]]; // _Vincenzo Librandi_, Dec 16 2013
%Y Cf. A041374, A040187.
%K nonn,frac,easy
%O 0,2
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 16 2013