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Search: id:A145452
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A145452 a(n)=(1/(10*Sqrt[2]) ((1 + Sqrt[2])^(3^n) - (1 - Sqrt[2])^(3^n)) +0
1
1, 197, 1529074009, 715015595589726925478809323773, 73109958817558064847374518951460268418149511794461927024546978118655493358310911\ 623870212081 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)=(1/(10*Sqrt[2]) ((1 + Sqrt[2])^(3^n) - (1 - Sqrt[2])^(3^n)) a[n+1]= 200 a[n]^3 - 3 a[n] a[0]=1

MATHEMATICA

1) Table[Simplify[Expand[(1/(10 Sqrt[2]) ((1 + Sqrt[2])^(3^n) + (1 - Sqrt[2])^(3^n))]], {n, 0, 5}]

2) a = {}; k = 1; Do[AppendTo[a, k]; k = 200 k^3 - 3 k, {n, 1, 6}]; a (*Artur Jasinski*)

CROSSREFS

A006266, A145451

Sequence in context: A031602 A097733 A114050 this_sequence A025375 A031512 A025366

Adjacent sequences: A145449 A145450 A145451 this_sequence A145453 A145454 A145455

KEYWORD

nonn

AUTHOR

Artur Jasinski (grafix(AT)csl.pl), Oct 10 2008

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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