Search: id:A123395
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%I A123395
%S A123395 0,27,6144,1549125,393289536,99891091323,25371897661440,
%T A123395 6444361377895077,1636842406341623424,415751526662194438875,
%U A123395 105599250926807591663616,26821793983834918021139973
%N A123395 Sequence allows us to find X values of the equation: 7(X-Y)^4-16XY=0 
               with X>=Y.
%C A123395 Sequence gives X values. To find Y values: b(n)=c(n)*(-1+d(n))which gives: 
               0,21,6048,1547595,393265152,99890702709,...
%F A123395 a(n)=c(n)*(1+d(n)) with c(0)=0,c(1)=3 and c(n)=16*c(n-1)-c(n-2) d(0)=1,
               d(1)=8 and d(n)=16*d(n-1)-d(n-2)
%F A123395 Contribution from Max Alekseyev (maxale(AT)gmail.com), Nov 13 2009: (Start)
%F A123395 For n>=4, a(n) = 270*a(n-1) - 4066*a(n-2) + 270*a(n-3) - a(n-4)
%F A123395 o.g.f.: 3*x*(9*x^2-382*x+9)/(x^2-16*x+1)/(x^2-254*x+1) (End)
%Y A123395 Sequence in context: A166750 A046367 A059795 this_sequence A051680 A013828 
               A001321
%Y A123395 Adjacent sequences: A123392 A123393 A123394 this_sequence A123396 A123397 
               A123398
%K A123395 nonn,new
%O A123395 0,2
%A A123395 Mohamed Bouhamida (bhmd95(AT)yahoo.fr), Oct 14 2006
%E A123395 More terms from Max Alekseyev (maxale(AT)gmail.com), Nov 13 2009

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