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A145277
a(n) = A145234(n+1)/A145234(n).
5
598364773, 27692759465311176949233529747775189817301578781117871380248013
OFFSET
1,1
COMMENTS
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
For k=2 see A001566.
For k=3 see A002814(n+2).
For k=4 see A145274.
For k=5 see A145275.
For k=6 see A145276.
For k=7 see this sequence.
LINKS
FORMULA
a(n) = (G^(7^(n + 1)) - (1 - G)^(7^(n + 1)))/(G^(7^n) - (1 - G)^(7^n)) where G = (1 + sqrt(5))/2.
MATHEMATICA
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}]
KEYWORD
nonn,bref,changed
AUTHOR
Artur Jasinski, Oct 06 2008
STATUS
approved