20581

Appears in sequences

• 4th elementary symmetric function of the first n+3 primes.at n=2A024449
• Number of monic polynomials with integer coefficients of degree n with all roots in unit disc.at n=16A051894
• Triangle of T(n,k) coefficients of polynomials with first n prime numbers as roots.at n=23A070918
• Leading term of n-th row of A081491.at n=40A081490
• Antidiagonal sums of square array A126885.at n=10A134195
• Number of n X 1 0..2 arrays avoiding the patterns z z+1 z or z z-1 z in any row or column.at n=9A207008
• Principal diagonal of the convolution array A213771.at n=21A213772
• Triangle read by rows: T(n,k) is coefficient of x^(n-k) in consecutive prime rooted polynomial of degree n, P(x) = Product_{k=1..n} (x-p(k)) = 1*x^n + T(n,1)*x^(n-1)+ ... + T(n,k-1)*x + T(n,k), for 1 <= k <= n.at n=18A238146
• Triangle read by rows: T(n, k) = coefficient of x^(n-k) in Product_{m=1..n} (x+prime(m)); 0 <= k <= n, n >= 0.at n=25A260613
• Triangle T(n,k) read by rows: coefficients of polynomials P_n(t) defined in Formula section.at n=42A287030
• E.g.f. C(x) satisfies: A(x)^2 + B(x)^2 = C(x)^2, such that C'(x) = C(x) + 2*A(x)*B(x).at n=7A292183
• a(n) is the coefficient of x^n in the polynomial Product_{i=1..n+2} (prime(i)*x-1).at n=4A309802
• a(n) = Sum_{k=1..n} (k - 1)^n * floor(n/k).at n=5A356100
• a(n) is the least number k such that 1 + 2*k + 3*k^2 has exactly n prime divisors, counted with multiplicity.at n=12A358205