A359667 - OEIS

%I #6 Jan 10 2023 13:04:58

%S 1,1,1,1,1,1,1,5,1,1,3,1,1,5,1,1,2,2

%N a(n) is the number of minimally prolific free polyominoes, i.e., that can generate the least possible number of children by adding a square.

%H John Mason, <a href="/A359667/a359667.pdf">Illustrations</a>

%e a(8) = 5 because each of the following octominoes will generate the minimum number of children given by A255890(8) = 3:

%e   OO OOO  OO   O    O

%e   OO O O OOOO OOO   OOO

%e   OO OOO  OO   OOO OOO

%e   OO            O    O

%Y Cf. A000105, A255890.

%K nonn,more

%O 1,8

%A _John Mason_, Jan 10 2023