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A145504 a(n+1)=a(n)^2+2*a(n)-2 and a(1)=4 +0
1
4, 22, 526, 277726, 77132286526, 5949389624883225721726, 35395236908668169265765137996816180039862526 (list; graph; listen)
OFFSET

1,1

COMMENT

General formula for a(n+1)=a(n)^2+2*a(n)-2 and a(1)=k+1 is a(n)=Floor[((k + Sqrt[k^2 + 4])/2)^(2^((n+1) - 1))

MATHEMATICA

aa = {}; k = 4; Do[AppendTo[aa, k]; k = k^2 + 2 k - 2, {n, 1, 10}]; aa

or

k = 3; Table[Floor[((k + Sqrt[k^2 + 4])/2)^(2^(n - 1))], {n, 2, 7}] (*Artur Jasinski*)

CROSSREFS

A145502-A145511

Sequence in context: A125801 A119009 A053722 this_sequence A104166 A065401 A053775

Adjacent sequences: A145501 A145502 A145503 this_sequence A145505 A145506 A145507

KEYWORD

nonn

AUTHOR

Artur Jasinski (grafix(AT)csl.pl), Oct 11 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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