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A145276 a(n)=A145233(n+1)/A145233(n) 4
1866294, 41473935220454958813340461622291147206 (list; graph; refs; listen; history; text; internal format)
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: A202469 A115495 A015347 * A251008 A064820 A032595

Adjacent sequences:  A145273 A145274 A145275 * A145277 A145278 A145279

KEYWORD

nonn,bref

AUTHOR

Artur Jasinski, Oct 06 2008

STATUS

approved

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Last modified May 31 02:18 EDT 2020. Contains 334747 sequences. (Running on oeis4.)