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Search: id:A028393
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| 8, 12, 18, 27, 20, 30, 45, 34, 51, 38, 57, 43, 32, 48, 72, 108, 162, 243, 182, 273, 205, 154, 231, 173, 130, 195, 146, 219, 164, 246, 369, 277, 208, 312, 468, 702, 1053, 790, 1185, 889, 667, 500, 750, 1125, 844
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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It is conjectured that this trajectory never repeats, but no proof of this has been found. - N. J. A. Sloane, Jul 14 2009
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REFERENCES
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D. Gale, Tracking the Automatic Ant and Other Mathematical Explorations, A Collection of Mathematical Entertainments Columns from The Mathematical Intelligencer, Springer, 1998; see p. 16. [From N. J. A. Sloane, Jul 14 2009]
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..1000
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MAPLE
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F := proc(n) option remember; if n = 0 then 8 elif 3*F(n-1) mod 2 = 0 then 3*F(n-1)/2 else round(3*F(n-1)/4); fi; end; [ seq(F(i), i=0..80) ];
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CROSSREFS
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Cf. A028394.
Sequence in context: A157940 A087696 A015897 this_sequence A066681 A120137 A033477
Adjacent sequences: A028390 A028391 A028392 this_sequence A028394 A028395 A028396
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KEYWORD
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nonn
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AUTHOR
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J. H. Conway (conway(AT)math.princeton.edu)
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