%I #15 Mar 18 2017 17:34:44
%S 28,29,86,115,201,316,517,2384,2901,5285,8186,13471,35128,48599,
%T 2756672,2805271,8367214,11172485,19539699,30712184,50251883,
%U 231719716,281971599,513691315,795662914,1309354229,3414371372,4723725601,267943005028,272666730629
%N Numerators of continued fraction convergents to sqrt(825).
%H Vincenzo Librandi, <a href="/A042592/b042592.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_28">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 97198, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
%F G.f.: -(x^27 -28*x^26 +29*x^25 -86*x^24 +115*x^23 -201*x^22 +316*x^21 -517*x^20 +2384*x^19 -2901*x^18 +5285*x^17 -8186*x^16 +13471*x^15 -35128*x^14 -48599*x^13 -35128*x^12 -13471*x^11 -8186*x^10 -5285*x^9 -2901*x^8 -2384*x^7 -517*x^6 -316*x^5 -201*x^4 -115*x^3 -86*x^2 -29*x -28) / (x^28 -97198*x^14 +1). - _Colin Barker_, Dec 19 2013
%t Numerator[Convergents[Sqrt[825], 30]] (* _Vincenzo Librandi_, Nov 29 2013 *)
%Y Cf. A042593, A040796.
%K nonn,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Dec 19 2013
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