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

Author

David A. Madore, Dec 18 1999

Keywords

• easy
• nice
• nonn
• changed

Comments

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

Examples

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

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

Crossrefs

Cf. A051776.

Extensions

More terms from John W. Layman, Mar 01 2001