74211

Appears in sequences

• Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k up-down runs (1 <= k <= n).at n=40A186370
• G.f. satisfies: A(x) = Sum_{n>=0} x^n*A(x)^binomial(n+4,5).at n=7A191811
• a(n) = arrange digits of concatenation of divisors of n (A037278, A176558) in decreasing order (in base 10).at n=13A243360
• Number of permutations p of [2n+1] such that 0p has exactly n+1 alternating runs.at n=4A303159
• Number of permutations p of [n] such that 0p has exactly ceiling(n/2) alternating runs.at n=9A303160