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1/2 the number of islands of ones fitting in an n X n array symmetric about main diagonal with all ones connected only either two adjacent vertically or two adjacent horizontally.
0

%I #3 Mar 31 2012 12:35:08

%S 0,0,1,2,2,4,6,7,9,12,13,16,20,22,25,30,32,36

%N 1/2 the number of islands of ones fitting in an n X n array symmetric about main diagonal with all ones connected only either two adjacent vertically or two adjacent horizontally.

%e 8 X 8 example with 14 islands

%e .0.1.1.0.0.0.1.1

%e .1.0.0.1.0.1.0.0

%e .1.0.0.1.0.1.0.1

%e .0.1.1.0.0.0.0.1

%e .0.0.0.0.0.1.1.0

%e .0.1.1.0.1.0.0.1

%e .1.0.0.0.1.0.0.1

%e .1.0.1.1.0.1.1.0

%K nonn

%O 1,4

%A _R. H. Hardin_, Oct 19 2008