A145276 a(n)=A145233(n+1)/A145233(n)

1866294, 41473935220454958813340461622291147206

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^(6^(n + 1)) - (1 - G)^(6^(n + 1)))/(G^(6^n) - (1 - G)^(6^n)) where G = (1 + Sqrt[5])/2

Mathematica

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*)

Crossrefs

A001566, A002814, A145274, A145275, A145276, A145277

Sequence in context: A346742 A115495 A015347 * A251008 A064820 A032595

Adjacent sequences: A145273 A145274 A145275 * A145277 A145278 A145279

Keyword

nonn,bref

Author

Artur Jasinski, Oct 06 2008

Status

approved