A125997 A106486-encodings of combinatorial games equivalent to game {0|1}.

9, 25, 73, 89, 521, 537, 585, 601, 2057, 2073, 2121, 2137, 2569, 2585, 2633, 2649, 4105, 4121, 4169, 4185, 4617, 4633, 4681, 4697, 6153, 6169, 6217, 6233, 6665, 6681, 6729, 6745, 8201, 8217, 8265, 8281, 8713, 8729, 8777, 8793, 10249, 10265

Offset

1,1

Comments

These are codes for games which belong to the same equivalence class as the game {0|1} (game 1/2).

Links

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

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

Example

Game {0|1} is encoded as 2^(2*0) + 2^(1+2*1) = 9, thus 9 is the first term of this sequence. Also 25 (= 2^(2*2) + 2^(2*0) + 2^(1+2*1)) belongs into this sequence, as it encodes game {-1,0|1}, where, as the option -1 is dominated by option 0, the former can be deleted, resulting the same game {0|1}.

Crossrefs

Row 7 of A126000.

Sequence in context: A271731 A126363 A036836 * A199111 A196350 A196353

Adjacent sequences: A125994 A125995 A125996 * A125998 A125999 A126000

Keyword

nonn

Author

Antti Karttunen, Dec 18 2006

Status

approved