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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

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

njas and J. H. Conway (conway(AT)math.princeton.edu)

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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