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A125992 A106486-encodings of combinatorial games with value 1. 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 (list; graph; refs; listen; history; text; internal format)
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 * A054402 A086533 A226685

Adjacent sequences:  A125989 A125990 A125991 * A125993 A125994 A125995

KEYWORD

nonn

AUTHOR

Antti Karttunen, Dec 18 2006

STATUS

approved

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Last modified January 18 13:38 EST 2019. Contains 319271 sequences. (Running on oeis4.)