A071426 Sprague-Grundy values for octal game .11337.

1, 1, 1, 2, 2, 0, 3, 3, 1, 1, 1, 0, 4, 3, 3, 3, 2, 2, 2, 4, 4, 0, 5, 5, 2, 2, 2, 3, 3, 0, 5, 0, 1, 1, 1, 3, 3, 3, 5, 6, 4, 4, 1, 0, 5, 5, 6, 6, 2, 7, 7, 7, 8, 0, 1, 9, 2, 7, 2, 3, 3, 3, 9, 0, 5, 4, 4, 8, 6, 6, 2, 7, 1, 1, 1, 0, 5, 5, 9, 3, 1, 8, 2, 8, 5, 0, 1, 1, 12, 2, 2, 7, 3, 3, 9, 4, 4, 0, 11, 3, 3

Offset: 1

Author

N. J. A. Sloane and Sue Pope, May 29 2002

Keywords

• nonn
• look

Comments

Also, with different offsets, Sprague-Grundy values for .04 [a(n-3)], .007 [a(n-2)] (Treblecross) and .0137 [a(n-1)].

References

• E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982; see Chapter 4, pp. 94, 102.

Links

• Eric M. Schmidt, Table of n, a(n) for n = 1..10000
• Sierra Brown, Spencer Daugherty, Eugene Fiorini, Barbara Maldonado, Diego Manzano-Ruiz, Sean Rainville, Riley Waechter, and Tony W. H. Wong, Nimber Sequences of Node-Kayles Games, J. Int. Seq., Vol. 23 (2020), Article 20.3.5.
• Eugene Fiorini, Maxwell Fogler, Katherine Levandosky, Bryan Lu, Jacob Porter, and Andrew Woldar, On the Nature and Complexity of an Impartial Two-Player Variant of the Game Lights-Out, arXiv:2411.08247 [math.CO], 2024. See p. 15.
• Achim Flammenkamp, Octal games

Extensions

Edited and extended by Christian G. Bower, Oct 22 2002