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

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

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

Links

Table of n, a(n) for n=1..2.

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}] (*Artur Jasinski*)

Crossrefs

A001566, A002814, A145274, A145275, A145276, A145277

Sequence in context: A134858 A344928 A344929 * A253166 A236948 A184216

Adjacent sequences: A145274 A145275 A145276 * A145278 A145279 A145280

Keyword

nonn,bref

Author

Artur Jasinski, Oct 06 2008

Status

approved