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Search: id:A014008
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| A014008 |
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Pisot sequence E(10,22), a(n)=[ a(n-1)^2/a(n-2)+1/2 ]. |
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+0
1
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| 10, 22, 48, 105, 230, 504, 1104, 2418, 5296, 11600, 25408, 55652, 121896, 266992, 584800, 1280904, 2805600, 6145184, 13459968, 29481744, 64574688, 141439744, 309799425, 678562341, 1486274065
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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D. W. Boyd, Some integer sequences related to the Pisot sequences, Acta Arithmetica, 34 (1979), 295-305.
D. W. Boyd, Linear recurrence relations for some generalized Pisot sequences, Advances in Number Theory ( Kingston ON, 1991) 333-340, Oxford Sci. Publ., Oxford Univ. Press, New York, 1993.
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FORMULA
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Known not to satisfy any linear recurrence.
a(n)=floor(r*s^n+1/2) where r=9.99722327450628273875296...; s=2.190327955501779639125414331914733218563545664874673678481473094.... - Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 21 2003
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CROSSREFS
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Sequence in context: A157917 A104867 A079861 this_sequence A039315 A088871 A043138
Adjacent sequences: A014005 A014006 A014007 this_sequence A014009 A014010 A014011
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KEYWORD
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nonn
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AUTHOR
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Simon Plouffe (simon.plouffe(AT)gmail.com)
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