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A051287
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Triangular array T read by rows: T(n,k)=P(n,k,|n-2k|), 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.
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0
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1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 4, 4, 1, 1, 4, 4, 4, 4, 1, 1, 6, 12, 8, 12, 6, 1, 1, 6, 12, 8, 8, 12, 6, 1, 1, 8, 24, 32, 16, 32, 24, 8, 1, 1, 8, 24, 32, 16, 16, 32, 24, 8, 1, 1, 10, 40, 80, 80, 32, 80, 80, 40, 10, 1, 1, 10, 40, 80, 80, 32, 32, 80
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