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A166537 Integers whose binary digits "1" define, if sorted into a quadrant shape whose right angle lies in a Go board corner, same colored Go stones that surely live all, but not if any stone is omitted 1

%I #5 Oct 04 2012 16:27:42

%S 430,441,2262,2534,2546,4494,4518,6493,6494,6510,6521,6522,6598,6627,

%T 8982,9102,9116,11206,11218,11220,12974,12979,12982,12985,12988,13190,

%U 13197,14969,14974,15078,15092,15182,15194,68758,68764,69030,69042

%N Integers whose binary digits "1" define, if sorted into a quadrant shape whose right angle lies in a Go board corner, same colored Go stones that surely live all, but not if any stone is omitted

%H Sensei's Library, <a href="http://senseis.xmp.net/?CornerShapes">Corner shapes</a>

%e 2534 has the binary expansion 100111100110. Sorting into a quadrant shape (like in A165197, the least-significant digit into the corner) leads to:

%e 0110

%e 101

%e 01

%e 11

%e 0

%e If the "0" top left is in a Go board corner and only the 7 digits "1" are Go stones of the same color, then all these 7 stones surely live, no matter where stones or chains of the other color with freedom(s) are. Removal of any of the 7 "1"-stones removes this sureness (for the remaining stones).

%K nonn,base

%O 1,1

%A _Leonhard Kreissig_, Oct 16 2009

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Last modified April 25 08:27 EDT 2024. Contains 371964 sequences. (Running on oeis4.)