A366476 Number of possible chmess games at the end of the n-th ply.

1, 25, 625

Offset: 0

Author

N. J. A. Sloane, Oct 26 2023

Keywords

• nonn
• more
• bref

Comments

Chmess is an imaginary game very similar to chess, with the exception that the king can move two squares in any direction instead of just one. To get a(1) = 25 I am assuming the king can jump over an occupied square, but is not allowed to move out and back (which would give a(1) = 26).

References

• Daniel C. Dennett, Higher-order truths about chmess, Topoi 25 (1-2):39-41 (2006).
• Nigel Warburton, Review of "I've Been Thinking" by Daniel C. Dennett (Allen Lane, 2023), TLS #6290 (Oct 20, 2023), pp. 8-9.

Links

• Daniel C. Dennett, Higher-order truths about chmess, Topoi 25 (1-2):39-41 (2006).
• N. J. A. Sloane and others, Anyone for Chmess?, Conversation in the SeqFan Google Group, Oct 14 2024.

Crossrefs

Cf. A006494, A048987.