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A132466
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Let df(n,k) = Product_{i=0..k-1} (n-i) be the descending factorial and let P(m,n) = df(n-1,m-1)^2*(2*n-m)/((m-1)!*m!). Sequence gives P(8,n).
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0, 0, 0, 0, 0, 0, 0, 1, 80, 1944, 25200, 217800, 1411344, 7361640, 32391216, 124227675, 425339200, 1323786464, 3797876160, 10155802176, 25539739200, 60844672800, 138154965696, 300509773245, 628886888784, 1270898695000, 2488029830000, 4731583685400, 8762192010000
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