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A144779 Variant of Sylvester's sequence: a(n+1) = a(n)^2 - a(n) + 1, with a(1) = 5 17
5, 21, 421, 176821, 31265489221, 977530816197201697621, 955566496615167328821993756200407115362021, 913107329453384594090655605142589591944556891901674138343716072975722193082773842421 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

FORMULA

a(n) =2.12799590746410705457735194814049878380944092755462023387761440825397916796276349223231^(2^n) a(n+1) = a(n)^2 - a(n) + 1, with a(1) = 5

MATHEMATICA

a = {}; k = 5; Do[AppendTo[a, k]; k = k^2 - k + 1, {n, 1, 10}]; a or Table[Round[2.12799590746410705457735194814049878380944092755462023387761440825397916796276349223231^(2^n)], {n, 1, 8}] (*Artur Jasinski*)

NestList[#^2-#+1&, 5, 8] (* From Harvey P. Dale, Jan 17 2012 *)

CROSSREFS

A000058, A082732, A144779, A144781, A144781, A144782, A144783, A144784, A144785, A144786, A144787, A144788

Sequence in context: A009732 A009758 A143503 * A193324 A156860 A063619

Adjacent sequences:  A144776 A144777 A144778 * A144780 A144781 A144782

KEYWORD

nonn

AUTHOR

Artur Jasinski (grafix(AT)csl.pl), Sep 21 2008

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Last modified February 15 14:53 EST 2012. Contains 205822 sequences.