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A145275 a(n)=A145232(n+1)/A145232(n) 6
15005, 792070839820228500005, 311759807762174781605301007201736860141952393239819056256447450170889021063181630442743411596527196875005 (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..3.

FORMULA

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

MATHEMATICA

G = (1 + Sqrt[5])/2; Table[Expand[(G^(5^(n + 1)) - (1 - G)^(5^(n + 1)))/Sqrt[5]]/Expand[(G^(5^n) - (1 - G)^(5^n))/Sqrt[5]], {n, 1, 5}] (*Artur Jasinski*)

CROSSREFS

A001566, A002814, A145274, A145275, A145276, A145277

Sequence in context: A236352 A064968 A178929 * A234654 A064730 A081635

Adjacent sequences:  A145272 A145273 A145274 * A145276 A145277 A145278

KEYWORD

nonn,bref

AUTHOR

Artur Jasinski, Oct 06 2008

STATUS

approved

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Last modified June 6 09:44 EDT 2020. Contains 334860 sequences. (Running on oeis4.)