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PositiveOneCount on AlternatingSignMatrix ​

The number of entries equal to 1.

On AlternatingSignMatrix

Called as CombinatorialStat(x, "PositiveOneCount"). The head's page has its examples.

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Distribution

Over AlternatingSignMatrices at each size, tallied here in your browser; sizes past 6 are not offered.

FindStat St000197

The number of entries equal to positive one in the alternating sign matrix.

ObjectValue
[[1]]1
[[0,1],[1,0]]2
[[1,0],[0,1]]2
[[0,0,1],[0,1,0],[1,0,0]]3
[[0,0,1],[1,0,0],[0,1,0]]3
[[0,1,0],[0,0,1],[1,0,0]]3
[[0,1,0],[1,0,0],[0,0,1]]3
[[1,0,0],[0,0,1],[0,1,0]]3

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000197 has the rest.