Search: id:A059954
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%I A059954
%S A059954 6,14,60,72,106,150,240,360,598,902,1308,1812,2378,3146,4080,4140,4270,
%T A059954 4346,4500,4592,4754,4910,5144,5308,5558,5802,6140,6440,6826,7206,7680,
%U A059954 8168,8702,9322,9996,10676,11418,12278,13208,14152,15158,16306,17540
%N A059954 Number of 2 X 2 matrices with elements from {0,1,2,...,n} and with Nim-Determinant 
               1. (The Nim-Determinant of the 2 X 2 matrix [a,b; c,d] is defined 
               to be a*d xor b*c, where * denotes Nim-Multiplication.)
%C A059954 The six 2 X 2 matrices of 0's and 1's with Nim-Determinant 1, the 60 
               with elements 0,1,2 and 3 and the 4080 with elements from {0,1,...,
               15} form groups under Nim-Matrix-multiplication (use the corresponding 
               Nim operation instead of ordinary multiplication and addition/subtraction).
%D A059954 E. R. Berlekamp, J. H. Conway and R. K. Guy, ``Winning Ways'', p. 443 
               J. H. Conway, ``On Numbers and Games'', chapter 6
%Y A059954 Sequence in context: A107301 A118432 A032404 this_sequence A139257 A056842 
               A130263
%Y A059954 Adjacent sequences: A059951 A059952 A059953 this_sequence A059955 A059956 
               A059957
%K A059954 nonn
%O A059954 1,1
%A A059954 John W. Layman (layman(AT)math.vt.edu), Mar 13 2001

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