A125998 A106486-encodings of combinatorial games equivalent to game {1|1}.

12, 13, 28, 29, 76, 77, 92, 93, 524, 525, 540, 541, 588, 589, 604, 605, 2060, 2061, 2076, 2077, 2124, 2125, 2140, 2141, 2572, 2573, 2588, 2589, 2636, 2637, 2652, 2653, 4108, 4109, 4124, 4125, 4172, 4173, 4188, 4189, 4620, 4621, 4636, 4637

Offset

1,1

Comments

These are codes for games which belong to the same equivalence class as the game {1|1}, the impartial game 1*.

Links

Table of n, a(n) for n=1..44.

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

Example

Game {1|1} is encoded as 2^(2*1) + 2^(1+2*1) = 12, thus 12 is the first term of this sequence. Also 13 belongs into this sequence, as it encodes game {0,1|1}, where, as the option 0 is dominated by option 1, the former can be deleted, resulting the same game {1|1}.

Crossrefs

Row 8 of A126000.

Sequence in context: A041288 A042207 A022317 * A307279 A106323 A177796

Adjacent sequences: A125995 A125996 A125997 * A125999 A126000 A126001

Keyword

nonn

Author

Antti Karttunen, Dec 18 2006

Status

approved