1,1

A member of the family of sequences of type:

(G^(k^(n + 1)) - (1 - G)^(k^(n + 1)))/(G^(k^n) - (1 - G)^(k^n)) where G = (1 + Sqrt[5])/2

k=2 see A001566

k=3 see A002814(n+2)

k=4 see A145274

k=5 see A145275

k=6 see A145276

k=7 see A145277

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

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*)

A001566, A002814, A145274, A145275, A145276, A145277

Sequence in context: A032755 A057535 A134858 this_sequence A123705 A018786 A003824

Adjacent sequences: A145274 A145275 A145276 this_sequence A145278 A145279 A145280

nonn,bref

Artur Jasinski (grafix(AT)csl.pl), Oct 06 2008