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

1,2

Comments

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

Links

Table of n, a(n) for n=1..42.

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

Example

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.

Crossrefs

Row 2 of A126000.

Sequence in context: A063522 A244973 A145850 * A363714 A054402 A086533

Adjacent sequences: A125989 A125990 A125991 * A125993 A125994 A125995

Keyword

nonn

Author

Antti Karttunen, Dec 18 2006

Status

approved