19595520

Appears in sequences

• Triangle whose (i,j)-th entry is binomial(i,j)*3^(i-j)*12^j.at n=32A038230
• Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*3^j.at n=31A038329
• Triangular array of coefficients multiplied by n! of polynomials in e. These give the expected number of trials needed for the sum of uniform random variables from the interval [0,1] to exceed n+1.at n=49A089087
• Number of divisors of n! that are coprime to n.at n=36A095997
• a(n) = (n+1)^4*(4+n)!/24.at n=5A154307
• G.f.: Sum_{n>=0} (n-x)^n * x^n / (1 + n*x - x^2)^n.at n=10A202365
• Partial products of A001037.at n=10A212660
• a(n) is the lowest nonnegative exponent k such that n!^k is the product of the divisors of n!.at n=36A344687
• Triangle read by rows: T(n, k) = n^k * Sum_{j=0..n} binomial(n - j, n - k) * Eulerian1(n, j).at n=26A372311