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AbsoluteVariation on IntegerComposition ​

The sum of |c(i+1) - c(i)|.

On IntegerComposition

Archibald, Knopfmacher and Mansour, Variation statistics on compositions.

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

Live

Distribution

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

FindStat St000089

The absolute variation of a composition.

ObjectValue
[1]0
[2]0
[3]0
[4]0
[5]0
[6]0
[7]0
[1,1]0

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000089 has the rest.