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

1,2

Comments

See A364489 for the rules of Heat-Charge Toggle.

References

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

Links

Table of n, a(n) for n=1..62.

Nathan Hurtig, C++ program to compute values

Example

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

Crossrefs

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

Sequence in context: A122805 A103981 A029270 * A090350 A199133 A199246

Adjacent sequences: A364500 A364501 A364502 * A364504 A364505 A364506

Keyword

nonn,more

Author

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

Status

approved