A145274 - OEIS

A145274

a(n)=A145231(n+1)/A145231(n)

329, 10749959329, 13354478338703157414450712411084788083329

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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^(4^(n + 1)) - (1 - G)^(4^(n + 1)))/(G^(4^n) - (1 - G)^(4^n)) where G = (1 + Sqrt[5])/2

MATHEMATICA

G = (1 + Sqrt[5])/2; Table[Expand[(G^(4^(n + 1)) - (1 - G)^(4^(n + 1)))/Sqrt[5]]/Expand[(G^(4^n) - (1 - G)^(4^n))/Sqrt[5]], {n, 1, 5}] (*Artur Jasinski*)

CROSSREFS

A001566, A002814, A145274, A145275, A145276, A145277

Sequence in context: A202010 A265195 A190920 * A174848 A300009 A244264

Adjacent sequences: A145271 A145272 A145273 * A145275 A145276 A145277

KEYWORD

nonn,bref

AUTHOR

Artur Jasinski, Oct 06 2008

STATUS

approved