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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
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OFFSET
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0,3
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COMMENTS
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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
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Richard Laver, "On the Algebra of Elementary Embeddings of a Rank into Itself", Advances in Mathematics 110, p. 334, 1995
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LINKS
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Table of n, a(n) for n=0..10.
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EXAMPLE
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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
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Sequence in context: A117295 A093820 A095400 * A062383 A034583 A076347
Adjacent sequences: A098817 A098818 A098819 * A098821 A098822 A098823
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KEYWORD
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nonn
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AUTHOR
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Christian Schroeder, Oct 08 2004
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STATUS
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approved
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