A364503 - OEIS

%I #11 Sep 03 2023 11:17:39

%S 0,2,1,3,2,2,3,4,5,3,7,3,4,4,6,5,5,6,4,7,6,3,10,4,16,18,16,32,32,32,

%T 32,32,36,32,36,32,33,36,32,33,32,32,32,35,33,34,34,36,35,33,33,32,36,

%U 32,33,32,36,34,34,37,37,34

%N Sprague-Grundy values for Heat-Charge Toggle on paths from A364489 where paths with an even number of vertices are odious, or paths with an odd number of vertices are evil.

%C See A364489 for the rules of Heat-Charge Toggle.

%D E. R. Berlekamp, J. H. Conway, and R. K. Guy, Winning Ways for Your Mathematical Plays, Vol. 1, CRC Press, 2001.

%H Nathan Hurtig, <a href="/A364503/a364503.cpp.txt">C++ program to compute values</a>

%e a(2) = 2, which is odious. So the second term of A364489 is an even number.

%Y Cf. A000069, A001969, A363934. Sprague-Grundy values of A364489.

%K nonn,more

%O 1,2

%A _Jean-Pierre Appel_, _Patrick G. Cesarz_, _Djeneba Diop_, _Eugene Fiorini_, _Nathan Hurtig_, _Andrew Woldar_, Jul 26 2023