Eulerian number (Q1373849)
number of permutations of the numbers from 1 to n in which m elements are greater than the previous element
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Current Data About Eulerian number
(P31) (Q77358734)
(P138) (Q7604)
(P279) (Q28920044)
(P366) (Q76592)
(P1889) (Q1340031)
(Q947015)
(Q82435)
(P2534) A(n,m)=\sum_{k=0}^{m+1}(-1)^k \binom{n+1}{k} (m+1-k)^n
(P6104) (Q8487137)
(P7235) A(n, m)
\binom{n+1}{k}
\sum_{k=0}^{m+1}
other details
description number of permutations of the numbers from 1 to n in which m elements are greater than the previous element

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