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%I #17 Apr 10 2017 07:53:56
%S 0,24,13824,7962600,4586443776,2641783652376,1521662797324800,
%T 876475129475432424,504848152915051751424,290791659603940333387800,
%U 167495491083716716979621376,96477112072561225039928524776,55570649058304181906281850649600
%N a(0)=0, a(1)=24; for n>=2, a(n)=576*a(n-1)-a(n-2).
%C a(n-1) and a(n+1) are the solutions for c if b=a(n) in (b^2+c^2)/(b*c+1)=576 and there are no other pairs of solutions apart from consecutive pairs of terms in this sequence.
%H Colin Barker, <a href="/A284985/b284985.txt">Table of n, a(n) for n = 0..350</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (576,-1).
%F a(n) = 576*a(n-1)-a(n-2).
%F a(n) = 12/(17*sqrt(287))*(((-1/(288+17287))^(n))+((288+(17*sqrt(287)))^(n))).
%F G.f.: 24*x/(1-576*x+x^2) . - _R. J. Mathar_, Apr 10 2017
%o (PARI) concat(0, Vec(24*x/(1-576*x+x^2) + O(x^20))) \\ _Colin Barker_, Apr 10 2017
%Y Cf. A052530.
%K nonn,easy,less
%O 0,2
%A _Kyle Degen_, Apr 06 2017
%E a(8)-a(12) from _Giovanni Resta_, Apr 10 2017
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