The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A275346 In Go, minimum total number of liberties player 1 (black) can have on a standard 19 X 19 board after n moves when no player passes a move, with no repeating game positions allowed. 1
 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS For many small n, a(n) = 0 when n is even and a(n) = 1 when n is odd, because a row of black stones can be played on the outer line of the board with a row of white stones running adjacent to the black stones, as in the following diagram: B--B--W | B--W | B--W | B--W | o What is the asymptotic behavior of this sequence? Does a(n) exist for all n or does a constant c exist such that a(n) is undefined for n >= c (because no more legal moves are possible)? LINKS Table of n, a(n) for n=1..87. online-go.com, Learn to play Go: Placing stones (virtual 9x9 Go board). Wikipedia, Go (game). EXAMPLE n=1: B--o | o n=2: B--o B--W | | o o n=3: B--o B--W B--W | | | o o B--o | o n=4: B--o B--W B--W B--W | | | | o o B--o B--W | | o o n=5: o o B--o B--o B--B--o | | | | | | B--o B--o B--o B--W B--W | | | | | o W W W W n=6: o o o--B--o o--B--o B--B--o .--.--W | | | | | | | | | | B--o B--o B--o B--W B--W .--W | | | | | | o W W W W W CROSSREFS Cf. A089071, A094777, A269417. Sequence in context: A039924 A349218 A364205 * A037888 A052308 A116510 Adjacent sequences: A275343 A275344 A275345 * A275347 A275348 A275349 KEYWORD nonn AUTHOR Felix Fröhlich, Jul 24 2016 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 5 05:37 EST 2023. Contains 367575 sequences. (Running on oeis4.)