%I #6 Mar 08 2018 18:48:42

%S 1,1,1,1,2,1,1,1,1,2,4,5,5,4,2,1,1,1,1,5,10,33,53,101,122,153,122,101,

%T 53,33,10,5,1,1,1,1,5,19,88,309,975,2537,5637,10510,16740,22734,26500,

%U 26500,22734,16740,10510,5637,2537,975,309,88,19,5,1,1

%N Triangle read by rows: T[n,k] = number of n X n binary matrices with k=0...n^2 ones, distinct up to cyclic shifts of rows and columns; reflection through any vertical or horizontal axis; and reflection through the main diagonal. Also, quasi-n-ominoes on a torus divided into a k X k grid.

%e [1,1], [1,1,2,1,1], [1,1,2,4,5,5,4,2,1,1] (the last block giving the numbers of 3 X 3 binary matrices with k=0...9 ones, distinct up to the transformations listed above.

%Y Binary matrices with distinct rows and columns, various versions: A059202, A088309, A088310, A088616, A089673, A089674, A093466, A094000, A094223, A116532, A116539, A181230, A259763

%K nonn,tabf

%O 1,5

%A _Jon Wild_, May 21, 2004