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A051917 Inverse of n under Nim (or Conway) multiplication. +0
3
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)
OFFSET

1,2

COMMENT

The Conway product makes N into a field of characteristic 2. This is the inverse function for that field

REFERENCES

E. R. Berlekamp, J. H. Conway and R. K. Guy, ``Winning Ways'', p. 443

J. H. Conway, ``On Numbers and Games'', chapter 6

LINKS

David A. Madore, Notes on game theory

Index entries for sequences related to Nim-multiplication

EXAMPLE

a(4)=15 because the Conway product of 4 and 15 is 1

CROSSREFS

Sequence in context: A070260 A072346 A103236 this_sequence A133932 A111999 A126323

Adjacent sequences: A051914 A051915 A051916 this_sequence A051918 A051919 A051920

KEYWORD

easy,nice,nonn

AUTHOR

David A. Madore (david.madore(AT)ens.fr), Dec 18 1999

EXTENSIONS

More terms from John W. Layman (layman(AT)math.vt.edu), Mar 01 2001

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Last modified July 8 18:40 EDT 2008. Contains 141013 sequences.


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