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Search: id:A145506
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| A145506 |
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a(n+1)=a(n)^2+2*a(n)-2 and a(1)=6 |
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+0
1
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| 6, 46, 2206, 4870846, 23725150497406, 562882766124611619513723646, 316837008400094222150776738483768236006420971486980606
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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))
Essentially the same as A145502. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 18 2009]
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MATHEMATICA
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aa = {}; k = 6; Do[AppendTo[aa, k]; k = k^2 + 2 k - 2, {n, 1, 10}]; aa
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k = 5; Table[Floor[((k + Sqrt[k^2 + 4])/2)^(2^(n - 1))], {n, 2, 7}] (*Artur Jasinski*)
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CROSSREFS
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A145502-A145511
Sequence in context: A006386 A094655 A015865 this_sequence A027012 A024076 A015553
Adjacent sequences: A145503 A145504 A145505 this_sequence A145507 A145508 A145509
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KEYWORD
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nonn
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AUTHOR
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Artur Jasinski (grafix(AT)csl.pl), Oct 11 2008
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