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Search: id:A010900
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| A010900 |
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Pisot sequence E(4,13): a(n)=[ a(n-1)^2/a(n-2)+1/2 ]. |
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1
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| 4, 13, 42, 136, 440, 1424, 4609, 14918, 48285, 156284, 505844, 1637264, 5299328, 17152321, 55516872, 179691313, 581606398, 1882483892, 6093030640, 19721296176, 63831867233, 206604436042, 668716032329
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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According to David Boyd his last use (as of April, 2006) of his Pisot number finding program was to prove that in fact this sequence is not recurrent. He remarks "This took a couple of years in background on various Sun workstations." - Gene Ward Smith (genewardsmith(AT)gmail.com), Apr 11 2006
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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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Believed not to satisfy any linear recurrence.
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CROSSREFS
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Cf. A007698, A007699.
Sequence in context: A000640 A010919 A022029 this_sequence A070031 A082989 A149425
Adjacent sequences: A010897 A010898 A010899 this_sequence A010901 A010902 A010903
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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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