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A145277 a(n)=A145234(n+1)/A145234(n) 5
598364773, 27692759465311176949233529747775189817301578781117871380248013 (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^(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: A297448 A057535 A134858 * A253166 A236948 A184216

Adjacent sequences:  A145274 A145275 A145276 * A145278 A145279 A145280

KEYWORD

nonn,bref

AUTHOR

Artur Jasinski, Oct 06 2008

STATUS

approved

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Last modified May 25 09:43 EDT 2020. Contains 334592 sequences. (Running on oeis4.)