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A008907 Number of legal tic-tac-toe (or noughts and crosses) positions after n plays, up to rotation and reflection. +0
4
1, 3, 12, 38, 108, 174, 204, 153, 57, 15 (list; graph; listen)
OFFSET

0,2

COMMENT

As in chess, a "play" is an action by a single player, a "move" is two contiguous plays by each opponent.

LINKS

Index entries for sequences related to tic-tac-toe

EXAMPLE

Example: a(2) = 12 since after 9 moves there are 15 legal positions:

-x- -x- -x- -x- -o- x-- x-- x-- x-o xo- o-- ox-

--- --- -o- o-- -x- --- --o -o- --- --- -x- ---

-o- o-- --- --- --- --o --- --- --- --- --- ---

CROSSREFS

Sequence in context: A145951 A083215 A022727 this_sequence A048246 A129014 A055294

Adjacent sequences: A008904 A008905 A008906 this_sequence A008908 A008909 A008910

KEYWORD

nonn,fini,full

AUTHOR

Russ Cox (rsc(AT)swtch.com)

EXTENSIONS

Additional comments from David W. Wilson (davidwwilson(AT)comcast.net), Jun 03 2001

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Last modified December 19 21:04 EST 2009. Contains 171054 sequences.


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