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A145505 a(n+1)=a(n)^2+2*a(n)-2 and a(1)=5 +0
1
5, 33, 1153, 1331713, 1773462177793, 3145168096065837266706433, 9892082352510403757550172975146702122837936996353 (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 = 5; Do[AppendTo[aa, k]; k = k^2 + 2 k - 2, {n, 1, 10}]; aa

or

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

CROSSREFS

A145502-A145511

Sequence in context: A087618 A134152 A140424 this_sequence A124936 A068560 A039773

Adjacent sequences: A145502 A145503 A145504 this_sequence A145506 A145507 A145508

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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