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%I #19 Sep 08 2022 08:44:54
%S 1,2,3,5,23,28,51,130,2651,5432,8083,13515,62143,75658,137801,351260,
%T 7163001,14677262,21840263,36517525,167910363,204427888,372338251,
%U 949104390,19354426051,39657956492,59012382543,98670339035,453693738683,552364077718
%N Denominators of continued fraction convergents to sqrt(108).
%H Vincenzo Librandi, <a href="/A041195/b041195.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 (0,0,0,0,0,0,0,2702,0,0,0,0,0,0,0,-1).
%F G.f.: -(x^14 -2*x^13 +3*x^12 -5*x^11 +23*x^10 -28*x^9 +51*x^8 -130*x^7 -51*x^6 -28*x^5 -23*x^4 -5*x^3 -3*x^2 -2*x -1) / ((x^8 -52*x^4 +1)*(x^8 +52*x^4 +1)). - _Colin Barker_, Nov 14 2013
%F a(n) = 2702*a(n-8) - a(n-16). - _Vincenzo Librandi_, Dec 12 2013
%t Denominator[Convergents[Sqrt[108], 30]] (* _Vincenzo Librandi_, Dec 12 2013 *)
%t LinearRecurrence[{0,0,0,0,0,0,0,2702,0,0,0,0,0,0,0,-1},{1,2,3,5,23,28,51,130,2651,5432,8083,13515,62143,75658,137801,351260},30] (* _Harvey P. Dale_, Jan 08 2016 *)
%o (Magma) I:=[1,2,3,5,23,28,51,130,2651,5432,8083,13515,62143,75658,137801, 351260]; [n le 16 select I[n] else 2702*Self(n-8)-Self(n-16): n in [1..40]]; // _Vincenzo Librandi_, Dec 12 2013
%Y Cf. A041194, A010174.
%K nonn,frac,easy
%O 0,2
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 14 2013
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