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A007699
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A Pisot sequence: a(n)= {nearest integer to } a(n-1)^2 /a(n-2). Deviates from A007698 at 1403-th term.
(Formerly M4747)
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2
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10, 219, 4796, 105030, 2300104, 50371117, 1103102046, 24157378203, 529034393290, 11585586272312, 253718493496142, 5556306986017175, 121680319386464850, 2664737596978110299, 58356408797678883616
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| 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.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
J. Wroblewski, personal communication.
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MAPLE
| a := proc(n) options remember; if n = 1 then RETURN(10); elif n = 2 then RETURN(219); else RETURN(round(a(n-1)^2/a(n-2))); fi; end:
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CROSSREFS
| Sequence in context: A057408 A002967 A007698 * A024291 A024292 A094420
Adjacent sequences: A007696 A007697 A007698 * A007700 A007701 A007702
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com) and J. H. Conway (conway(AT)math.princeton.edu)
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