A364503 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.

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, 32, 32, 36, 32, 36, 32, 33, 36, 32, 33, 32, 32, 32, 35, 33, 34, 34, 36, 35, 33, 33, 32, 36, 32, 33, 32, 36, 34, 34, 37, 37, 34

Offset: 1

Author

Jean-Pierre Appel, Patrick G. Cesarz, Djeneba Diop, Eugene Fiorini, Nathan Hurtig, Andrew Woldar, Jul 26 2023

Keywords

• nonn
• more

Comments

See A364489 for the rules of Heat-Charge Toggle.

Examples

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

References

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

Links

• Nathan Hurtig, C++ program to compute values

Crossrefs

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