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%I #17 Sep 08 2022 08:44:54
%S 1,2,7,16,23,39,62,101,163,427,1444,3315,114154,231623,809023,1849669,
%T 2658692,4508361,7167053,11675414,18842467,49360348,166923511,
%U 383207370,13195974091,26775155552,93521440747,213818037046,307339477793,521157514839
%N Denominators of continued fraction convergents to sqrt(304).
%H Vincenzo Librandi, <a href="/A041573/b041573.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 (0,0,0,0,0,0,0,0,0,0,0,115598,0,0,0,0,0,0,0,0,0,0,0,-1).
%F G.f.: -(x^22 -2*x^21 +7*x^20 -16*x^19 +23*x^18 -39*x^17 +62*x^16 -101*x^15 +163*x^14 -427*x^13 +1444*x^12 -3315*x^11 -1444*x^10 -427*x^9 -163*x^8 -101*x^7 -62*x^6 -39*x^5 -23*x^4 -16*x^3 -7*x^2 -2*x -1) / ((x^12 -340*x^6 +1)*(x^12 +340*x^6 +1)). - _Colin Barker_, Nov 19 2013
%F a(n) = 115598*a(n-12) - a(n-24) for n>23. - _Vincenzo Librandi_, Dec 20 2013
%t Denominator[Convergents[Sqrt[304], 30]] (* _Vincenzo Librandi_, Dec 20 2013 *)
%o (Magma) I:=[1,2,7,16,23,39,62,101,163,427,1444,3315, 114154,231623,809023,1849669,2658692,4508361,7167053, 11675414,18842467,49360348,166923511,383207370]; [n le 24 select I[n] else 115598*Self(n-12)-Self(n-24): n in [1..40]]; // _Vincenzo Librandi_, Dec 20 2013
%Y Cf. A041572, A040286.
%K nonn,frac,easy
%O 0,2
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 19 2013
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