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%I #2 Mar 30 2012 18:49:09
%S 0,0,1,2,10,46,215,1037,5083,24918,122437
%N Number of n-celled polyhexes with perimeter < 4n+2.
%C These are n-cell polyhexes with the perimeter less than the maximum possible one.
%C If we associate a graph to a polyhex with vertices representing cells and edges representing two cells with a common edge, then this sequence enumerates polyhexes whose corresponding graphs have cycles.
%F A000228(n)-A038142(n)
%K hard,more,nonn
%O 1,4
%A _Tanya Khovanova_, Mar 03 2008
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