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Search: id:A145503
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| A145503 |
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a(n+1)=a(n)^2+2*a(n)-2 and a(1)=3 |
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+0
1
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| 3, 13, 193, 37633, 1416317953, 2005956546822746113, 4023861667741036022825635656102100993
(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 A110407. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 18 2009]
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MATHEMATICA
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aa = {}; k = 3; Do[AppendTo[aa, k]; k = k^2 + 2 k - 2, {n, 1, 10}]; aa
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k = 2; 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: A117808 A002065 A087601 this_sequence A112093 A085010 A165903
Adjacent sequences: A145500 A145501 A145502 this_sequence A145504 A145505 A145506
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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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