Skip to content

Successions on SetPartition ​

Elements i with i + 1 in the same block.

On SetPartition

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

Live

FindStat St000502

The number of successions of a set partitions.

ObjectValue
{{1,2}}1
{{1,2,3}}2
{{1},{2}}0
{{1,2,3,4}}3
{{1,2},{3}}1
{{1,3},{2}}0
{{1},{2,3}}1
{{1,2,3,4,5}}4

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000502 has the rest.