%I #2 Mar 31 2012 10:22:10
%S 1866294,41473935220454958813340461622291147206
%N a(n)=A145233(n+1)/A145233(n)
%C A member of the family of sequences of type:
%C (G^(k^(n + 1)) - (1 - G)^(k^(n + 1)))/(G^(k^n) - (1 - G)^(k^n)) where G = (1 + Sqrt[5])/2
%C k=2 see A001566
%C k=3 see A002814(n+2)
%C k=4 see A145274
%C k=5 see A145275
%C k=6 see A145276
%C k=7 see A145277
%F a(n)=(G^(6^(n + 1)) - (1 - G)^(6^(n + 1)))/(G^(6^n) - (1 - G)^(6^n)) where G = (1 + Sqrt[5])/2
%t G = (1 + Sqrt[5])/2; Table[Expand[(G^(6^(n + 1)) - (1 - G)^(6^(n + 1)))/Sqrt[5]]/Expand[(G^(6^n) - (1 - G)^(6^n))/Sqrt[5]], {n, 1, 5}] (*Artur Jasinski*)
%Y A001566, A002814, A145274, A145275, A145276, A145277
%K nonn,bref
%O 1,1
%A _Artur Jasinski_, Oct 06 2008
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