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A145277 a(n)=A145234(n+1)/A145234(n) 5

%I #2 Mar 31 2012 10:22:10

%S 598364773,

%T 27692759465311176949233529747775189817301578781117871380248013

%N a(n)=A145234(n+1)/A145234(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^(7^(n + 1)) - (1 - G)^(7^(n + 1)))/(G^(7^n) - (1 - G)^(7^n)) where G = (1 + Sqrt[5])/2

%t G = (1 + Sqrt[5])/2; Table[Expand[(G^(7^(n + 1)) - (1 - G)^(7^(n + 1)))/Sqrt[5]]/Expand[(G^(7^n) - (1 - G)^(7^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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Last modified April 19 14:10 EDT 2024. Contains 371792 sequences. (Running on oeis4.)