A051290 Triangular array T read by rows: T(n,k)=P(2n+3,n,2k+3), where P(n,k,c)=number of vectors (x(1),x(2,),...,x(n)) of k 1's and n-k 0's such that x(i)=x(n+1-i) for exactly c values of i.
1, 4, 1, 12, 6, 3, 32, 24, 24, 4, 80, 80, 120, 40, 10, 192, 240, 480, 240, 120, 15, 448, 672, 1680, 1120, 840, 210, 35, 1024, 1792, 5376, 4480, 4480, 1680, 560, 56, 2304, 4608, 16128, 16128, 20160, 10080, 5040, 1008, 126
Offset: 0
Examples
Triangle begins: 1; 4, 1; 12, 6, 3; 32, 24, 24, 4, 80, 80, 120, 40, 10; ...
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