32802

Appears in sequences

• Number of nonempty subsets of {1,2,...,n} in which exactly 3/5 of the elements are <= (n-1)/2.at n=19A047178
• Number of nonempty subsets of {1,2,...,n} in which exactly 3/5 of the elements are <= (n-2)/2.at n=19A047189
• Ninth column of quadrinomial coefficients.at n=8A064055
• For each n there are uniquely determined numbers a(n) and b(n) and a polynomial p_n(x) such that for all integers m we have Sum_{i=1..m}i^n(i+1)! = a(n)*Sum_{i=1..m} (i+1)! + p_n(m)*(m+2)! + b(n). The sequence b(n) is A074052.at n=11A074051
• a(n) = n*A007504(n)/2 = n*(sum of first n primes)/2.at n=33A156778
• Expansion of e.g.f.: exp(t*x)/(1 - x/t - t^2 * x^2).at n=59A158706
• Triangle T(n,k) with the coefficient of [x^k] of the series (1-x)^(n+1)* Sum_{j>=0} binomial(n + 4*j, 4*j)*x^j in row n, column k.at n=49A178619
• Replace 3^i with n^i in ternary representation of n.at n=31A193760
• Number of n-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero and avoiding the patterns z z+1 z+2 and z z-1 z-2.at n=5A209107
• Number of n-bead necklaces labeled with numbers -6..6 not allowing reversal, with sum zero and avoiding the patterns z z+1 z+2 and z z-1 z-2.at n=5A209113
• T(n,k) = number of n-bead necklaces labeled with numbers -k..k not allowing reversal, with sum zero and avoiding the patterns z z+1 z+2 and z z-1 z-2.at n=60A209115
• Number of 6-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero and avoiding the patterns z z+1 z+2 and z z-1 z-2.at n=5A209118
• a(n) = n*(n^2 - 3*n + 4).at n=33A242659
• Squarefree numbers n such that n^2 + 1 and n^2 - 1 are semiprime.at n=38A268697
• 1st-order coefficients of the 1/N-expansion of traces of negative powers of real Wishart matrices with parameter c=2.at n=7A277661
• Sum of the prime parts in the partitions of n into 7 parts.at n=38A309468
• Sum of all the parts in the partitions of n into 8 squarefree parts.at n=42A326444
• Number of pairwise coprime strict compositions of n, where a singleton is not considered coprime unless it is (1).at n=49A337561
• Numbers k such that the k-th composition in standard order is a triple (w,x,y) such that 2w = 3x + 4y.at n=4A357489
• Products of 5 distinct primes that are sandwiched between twin prime numbers.at n=22A376380