NonzeroEntryCount on AlternatingSignMatrix

The number of nonzero entries.

On AlternatingSignMatrix

FindStat's St000890.

Called as CombinatorialStat(x, "NonzeroEntryCount"). 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.

Sizes 1 to

FindStat St000890

The number of nonzero entries in an alternating sign matrix.

Object	Value
[[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
[[1,0,0],[0,1,0],[0,0,1]]	3

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000890 has the rest.