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Number of "unbordered" n X n binary arrays.
0

%I #10 Nov 11 2016 19:56:45

%S 1,2,14,496,64902,33480816,68683762160,562879053495808,

%T 18446172258948389894,2417833047807055774900336,

%U 1267648177654223684013845739628,2658454721440933587372867150275542528

%N Number of "unbordered" n X n binary arrays.

%C An n X n array is bordered if there exists some i,j, with 1 <= i, j < n, such that the first i rows are the same as the last i rows, and the first j columns are the same as the last j columns. Otherwise it is unbordered.

%e For n = 2 the only bordered arrays are the arrays of all 0's and all 1's.

%Y This is one possible 2-dimensional analog of A003000.

%K nonn

%O 0,2

%A _Jeffrey Shallit_, Oct 01 2016