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Number of n-celled polyominoes with perimeter < 2n+2.
0

%I #5 May 21 2018 08:30:33

%S 0,0,0,1,1,8,25,114,438,1826,7339,29876,120346,485155,1947974,7812084,

%T 31267765

%N Number of n-celled polyominoes with perimeter < 2n+2.

%C These are n-cell polyominoes with the perimeter less than the maximum possible one.

%C If we associate a graph to a polyomino with vertices representing cells and edges representing two cells with a common edge, then this sequence enumerates polyominoes whose corresponding graphs have cycles.

%F a(n) = A000105(n) - A131482(n).

%K hard,more,nonn

%O 1,6

%A _Tanya Khovanova_, Mar 03 2008

%E More terms from _Joerg Arndt_, May 21 2018