A051917 Inverse of n under Nim (or Conway) multiplication.

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

Offset

1,2

Comments

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

Paul Tek, Table of n, a(n) for n = 1..255

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. And a(15)=4.

Crossrefs

Cf. A051776.

Sequence in context: A185973 A258566 A374667 * A302845 A291251 A223523

Adjacent sequences: A051914 A051915 A051916 * A051918 A051919 A051920

Keyword

easy,nice,nonn

Author

David A. Madore, Dec 18 1999

Extensions

More terms from John W. Layman, Mar 01 2001

Status

approved