4233673

Properties

Appears in sequences

• Triangle, read by rows, T(n,k) = Sum_{j=1..k} binomial(n-1, j-1)*binomial(k, j - 1)*(j-1)!.at n=52A176122
• Triangle read by rows: T(n,k) is the number of nilpotent subpermutations on an n-set, each of nilpotency index less than or equal to k.at n=53A261764
• Expansion of e.g.f. exp(Sum_{k=1..8} x^k).at n=9A306623
• Triangle read by rows, T(n, k) = A000262(n) - A349776(n, n - k) for n > 0 and T(0, 0) = 1.at n=53A349780
• a(n) = n! * (hypergeom([1 - n], [2], -1) - 1) for n >= 1 and a(0) = 0.at n=9A349781
• Prime numbersat n=298526