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%I A370188 #12 Feb 11 2024 09:15:38
%S A370188 0,1,52,2703,140504,7303505,379641756,19734067807,1025791884208,
%T A370188 53321443911009,2771689291488260,144074521713478511,
%U A370188 7489103439809394312,389289304348375025713,20235554722675691942764,1051859556274787605998015,54676461371566279819954016,2842124131765171763031610817
%N A370188 a(n) = sqrt((A114052(n)^2 - 1)/27)/5.
%C A370188 5*a(n) are the y-values in solutions to x^2 - 27*y^2 = 1.
%H A370188 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (52,-1).
%F A370188 G.f.: x/(1 - 52*x + x^2).
%e A370188 a(2) = 52: A114052(2) = 1351; 1351^2 - 27*(5*52)^2 = 1825201 - 1825200 = 1.
%t A370188 LinearRecurrence[{52, -1}, {0, 1}, 18]
%Y A370188 Cf. A114052.
%K A370188 nonn,easy
%O A370188 0,3
%A A370188 _Hugo Pfoertner_, Feb 11 2024

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