Search: id:A133275
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%I A133275
%S A133275 3,63,1383,30363,666603,14634903,321301263,7053992883,154866542163,
%T A133275 3400009934703,74645352021303,1638797734533963,35978904807725883,
%U A133275 789897108035435463,17341757471971854303,380728767275345359203
%N A133275 Numbers X such that 30*X^2-45 is a square.
%F A133275 a(n+2)=22*a(n+1)-a(n) ; a(n+1)=11*a(n)+2*(30*a(n)^2-45)^0.5
%F A133275 G.f.: -3*x*(-1+x)/(1-22*x+x^2). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Nov 14 2007
%e A133275 a(n)=(3/2)*[11+2*sqrt(30)]^n+(1/4)*[11+2*sqrt(30)]^n*sqrt(30)+(3/2)*[11-2*sqrt(30)]^n-(1/
               4) *sqrt(30)*[11-2*sqrt(30)]^n, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), 
               Aug 06 2008]
%Y A133275 Sequence in context: A151993 A120053 A139293 this_sequence A123687 A159605 
               A156904
%Y A133275 Adjacent sequences: A133272 A133273 A133274 this_sequence A133276 A133277 
               A133278
%K A133275 nonn
%O A133275 1,1
%A A133275 Richard Choulet (richardchoulet(AT)yahoo.fr), Oct 16 2007
%E A133275 More terms from Paolo P. Lava (ppl(AT)spl.at), Aug 06 2008

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