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A283796 Triangle T(n,k) read by rows: the number of symmetric q-circulant n X n {0,1}-matrices where each row and each column sum equals k.

%I A283796 #7 Mar 16 2017 17:36:48
%S A283796 1,1,1,1,2,1,1,4,4,1,1,6,6,6,1,1,6,12,12,6,1,1,8,18,22,18,8,1,1,8,24,
%T A283796 38,38,24,8,1,1,16,38,80,86,80,38,16,1,1,10,40,88,132,132,88,40,10,1,
%U A283796 1,12,50,128,220,262,220,128,50,12,1,1,12,60,170,340,472,472,340,170,60,12,1
%N A283796 Triangle T(n,k) read by rows: the number of symmetric q-circulant n X n {0,1}-matrices where each row and each column sum equals k.
%C A283796 Obtained by selecting matrices in A283795 which are symmetric, which means where the transpose of the binary matrix equals the matrix.
%C A283796 Is column k=1 the same as A235384?
%e A283796 The matrix stars in rows n=0 and columns 0<=k<n as
%e A283796 1 rsum= 1
%e A283796 1 1 rsum= 2
%e A283796 1 2 1 rsum= 4
%e A283796 1 4 4 1 rsum= 10
%e A283796 1 6 6 6 1 rsum= 20
%e A283796 1 6 12 12 6 1 rsum= 38
%e A283796 1 8 18 22 18 8 1 rsum= 76
%e A283796 1 8 24 38 38 24 8 1 rsum= 142
%e A283796 1 16 38 80 86 80 38 16 1 rsum= 356
%e A283796 1 10 40 88 132 132 88 40 10 1 rsum= 542
%e A283796 1 12 50 128 220 262 220 128 50 12 1 rsum= 1084
%e A283796 1 12 60 170 340 472 472 340 170 60 12 1 rsum= 2110
%e A283796 1 24 92 282 586 936 1050 936 586 282 92 24 1 rsum= 4892
%e A283796 1 14 84 292 730 1302 1736 1736 1302 730 292 84 14 1 rsum= 8318
%Y A283796 Cf. A235384, A045655.
%K A283796 tabl,nonn
%O A283796 0,5
%A A283796 _R. J. Mathar_, Mar 16 2017