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A007699 A Pisot sequence: a(n)= {nearest integer to } a(n-1)^2 /a(n-2). Deviates from A007698 at 1403-th term.
(Formerly M4747)
+0
3
10, 219, 4796, 105030, 2300104, 50371117, 1103102046, 24157378203, 529034393290, 11585586272312, 253718493496142, 5556306986017175, 121680319386464850, 2664737596978110299, 58356408797678883616 (list; graph; listen)
OFFSET

1,1

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

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.

J. Wroblewski, personal communication.

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:

CROSSREFS

Sequence in context: A057408 A002967 A007698 this_sequence A024291 A024292 A094420

Adjacent sequences: A007696 A007697 A007698 this_sequence A007700 A007701 A007702

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com) and J. H. Conway (conway(AT)math.princeton.edu)

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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