A051917 - OEIS

%I #18 Sep 24 2013 20:51:59

%S 1,3,2,15,12,9,11,10,6,8,7,5,14,13,4,170,160,109,107,131,139,116,115,

%T 228,234,92,89,73,77,220,209,85,214,80,219,199,179,203,184,66,226,70,

%U 236,156,247,149,248,255,182,189,240,120,164,174,127,142,100,98,134

%N Inverse of n under Nim (or Conway) multiplication.

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

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

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

%H Paul Tek, <a href="/A051917/b051917.txt">Table of n, a(n) for n = 1..255</a>

%H David A. Madore, <a href="http://www.eleves.ens.fr:8080/home/madore/math/games.ps.gz">Notes on game theory</a>

%H <a href="/index/Ni#Nimmult">Index entries for sequences related to Nim-multiplication</a>

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

%Y Cf. A051776.

%K easy,nice,nonn

%O 1,2

%A _David A. Madore_, Dec 18 1999

%E More terms from _John W. Layman_, Mar 01 2001