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A098820
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Periodicity of entries in the first row of a Laver Table of size 2^n.
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0
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1, 1, 2, 4, 4, 8, 8, 8, 8, 16, 16
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| All sequence elements are powers of 2. The first n for which a(n)=32 is at least A(9,A(8,A(8,255))), where A denotes the Ackermann function (R. Dougherty). If a rank-into-rank exists, then the sequence is diverging (R. Laver).
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REFERENCES
| Richard Laver, "On the Algebra of Elementary Embeddings of a Rank into Itself", Advances in Mathematics 110, p. 334, 1995
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EXAMPLE
| a(4)=4 because the entries in the first row of the Laver table of size 4^2=16 are 2,12,14,16,2,12,14,16,2,12,14,16,2,12,14,16 (and thus repeat with a periodicity of 4).
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CROSSREFS
| Sequence in context: A117295 A093820 A095400 * A062383 A034583 A076347
Adjacent sequences: A098817 A098818 A098819 * A098821 A098822 A098823
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KEYWORD
| nonn
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AUTHOR
| Christian Schroeder (chs(AT)chs-kiel.de), Oct 08 2004
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