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BigAscentsAfterPrependingZero on Permutation ​

Positions of the word 0 p(1) ... p(n) that rise by more than 1, the first entry counted against 0.

On Permutation

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

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Distribution

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FindStat St000742

The number of big ascents of a permutation after prepending zero.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000742 has the rest.