A125992 A106486-encodings of combinatorial games with value 1.

1, 17, 65, 81, 513, 529, 577, 593, 2049, 2065, 2113, 2129, 2561, 2577, 2625, 2641, 4097, 4113, 4161, 4177, 4609, 4625, 4673, 4689, 6145, 6161, 6209, 6225, 6657, 6673, 6721, 6737, 8193, 8209, 8257, 8273, 8705, 8721, 8769, 8785, 10241, 10257

Offset: 1

Author

Antti Karttunen, Dec 18 2006

Keywords

• nonn

Comments

These are codes for games which belong to the same equivalence class as the game {0|} (i.e. game 1).

Examples

			Game {0|} is encoded as 2^(2*0) = 1, thus 1 is the first term of this sequence. Also 17 belongs into this sequence, as it encodes game {-1,0|}, where, as the option -1 is dominated by option 0, the former can be deleted, resulting the same game {0|}. Also code 65536 (= 2^(2*(2^(1+2*1)))) belongs into this sequence, as it encodes the game {{|1}|}, which is reversible to game 1.
		

Links

• A. Karttunen, Scheme-program for computing this sequence.

Crossrefs

Row 2 of A126000.