Eulerian number
Polynomial sequence / From Wikipedia, the free encyclopedia
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Not to be confused with Euler number or Euler's number.
In combinatorics, the Eulerian number is the number of permutations of the numbers 1 to in which exactly elements are greater than the previous element (permutations with "ascents").
Leonhard Euler investigated them and associated polynomials in his 1755 book Institutiones calculi differentialis.
Other notations for are and .