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Search: id:A007759
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| A007759 |
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Knopfmacher expansion of sqrt(2): a(2n)=2(a(2n-1)+1)^2 - 1, a(2n+1)=2a(2n)^2 - 2. |
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1
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| 2, 17, 576, 665857, 886731088896, 1572584048032918633353217, 4946041176255201878775086487573351061418968498176, 48926646634423881954586808839856694558492182258668537145547700898547222910968507268117381704646657
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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A. Knopfmacher and J. Knopfmacher, "An alternating product representation for real numbers", in Applications of Fibonacci numbers, Vol. 3 (Kluwer 1990), pp. 209-216.
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CROSSREFS
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Cf. A001601.
Sequence in context: A128159 A085617 A015202 this_sequence A062710 A012939 A013094
Adjacent sequences: A007756 A007757 A007758 this_sequence A007760 A007761 A007762
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KEYWORD
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nonn
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AUTHOR
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Arnold Knopfmacher [ ARNOLDK(AT)gauss.cam.wits.ac.za ]
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EXTENSIONS
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More terms from Christian G. Bower (bowerc(AT)usa.net), Jan 06 2006
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