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%I #17 Jun 13 2015 00:49:21
%S 7,29,36,101,137,649,9223,37541,46764,131069,177833,842401,11971447,
%T 48728189,60699636,170127461,230827097,1093435849,15538928983,
%U 63249151781,78788080764,220825313309,299613394073
%N Numerators of continued fraction convergents to sqrt(52).
%H Vincenzo Librandi, <a href="/A041088/b041088.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 (0,0,0,0,0,1298,0,0,0,0,0,-1).
%F a(n) = 1298*a(n-6)-a(n-12). G.f.: -(x^11-7*x^10+29*x^9-36*x^8+101*x^7-137*x^6-649*x^5-137*x^4-101*x^3-36*x^2-29*x-7)/((x^2-3*x-1)*(x^2+3*x-1)*(x^4-3*x^3+10*x^2+3*x+1)*(x^4+3*x^3+10*x^2-3*x+1)). [_Colin Barker_, Jul 18 2012]
%t Numerator[Convergents[Sqrt[52], 30]] (* _Vincenzo Librandi_, Oct 25 2013 *)
%Y Cf. A010505, A041089.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
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