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Search: id:A051917
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| A051917 |
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Inverse of n under Nim (or Conway) multiplication. |
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+0
4
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| 1, 3, 2, 15, 12, 9, 11, 10, 6, 8, 7, 5, 14, 13, 4, 170, 160, 109, 107, 131, 139, 116, 115, 228, 234, 92, 89, 73, 77, 220, 209, 85, 214, 80, 219, 199, 179, 203, 184, 66, 226, 70, 236, 156, 247, 149, 248, 255, 182, 189, 240, 120, 164, 174, 127, 142, 100, 98, 134
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The Conway product makes N into a field of characteristic 2. This is the inverse function for that field
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REFERENCES
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E. R. Berlekamp, J. H. Conway and R. K. Guy, ``Winning Ways'', p. 443
J. H. Conway, ``On Numbers and Games'', chapter 6
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LINKS
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David A. Madore, Notes on game theory
Index entries for sequences related to Nim-multiplication
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EXAMPLE
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a(4)=15 because the Conway product of 4 and 15 is 1
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CROSSREFS
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Sequence in context: A072346 A103236 A141235 this_sequence A133932 A111999 A126323
Adjacent sequences: A051914 A051915 A051916 this_sequence A051918 A051919 A051920
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KEYWORD
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easy,nice,nonn
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AUTHOR
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David A. Madore (david.madore(AT)ens.fr), Dec 18 1999
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EXTENSIONS
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More terms from John W. Layman (layman(AT)math.vt.edu), Mar 01 2001
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