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Number of arrangements of n circles in the affine plane having only one island or region, which is formed by the union of all solid circles of the arrangement.
2

%I #37 Feb 13 2018 09:14:05

%S 1,1,2,11,155

%N Number of arrangements of n circles in the affine plane having only one island or region, which is formed by the union of all solid circles of the arrangement.

%C A subset of the arrangements of n circles described in A250001.

%C Note that a(4) = 155 does not include the arrangement of four circles in which there is a little circle that is surrounded by the union of three solid circles, because in that arrangement there are two islands or regions, not one.

%Y 1 together with the first column of A252158.

%Y First differs from A275923 at a(4).

%Y Cf. A250001.

%K nonn,hard,more

%O 0,3

%A _Omar E. Pol_, May 21 2017