76160

Appears in sequences

• a(n) = 2*(n+1)*binomial(n+2,4).at n=13A027777
• a(n) = 7*(n+1)*binomial(n+2,14).at n=3A027787
• Number of subsets of integers 1 through n (including the empty set) containing no pair of integers that share a common factor.at n=33A084422
• Triangle T(n,k) = sum_{0<=j<=k/2} A034867(k,j)*prime(n)^j, read by rows, 0<=k<n.at n=35A140894
• Numbers with prime factorization pqrs^7.at n=18A190473
• Half the number of n X n symmetric binary matrices with no element equal to a strict majority of its diagonal and antidiagonal neighbors.at n=7A190626
• a(n) = Sum_{0 < x,y,z <= n and gcd(x^2 + y^2 + z^2, n)=1} gcd(x^2 + y^2 + z^2 - 1, n).at n=33A239612
• a(n) = n*(n+1)*(11*n +10)/6.at n=34A254407
• Wiener index of the n-cube-connected cycle graph.at n=4A292028
• Numbers m such that the denominator of m/rho(m) is 3, where rho is A206369; i.e. A294649(m) = 3.at n=14A297358
• Denominators of r(n) := Sum_{k=0..n-1} 1/Product_{j=0..4} (k + j + 1), for n >= 0, with r(0) = 0.at n=13A300299
• Numbers k such that k = Product (p_j^e_j) = Product (p_j*(e_j + 1)).at n=22A304410
• a(n) is the number of subsets of {1..n} that contain exactly 2 odd and 3 even numbers.at n=33A330300
• Expansion of e.g.f. 1/(1 - x * exp(x^3/6)).at n=8A358265
• a(n) = Sum_{k=1..n} k^2*sigma_2(k), where sigma_2 is A001157.at n=11A364268
• Denominators of rational coefficients which are ratio of Brent's coefficients -A[n,2]/A343480.at n=39A380948
• Numbers x such that there exist two integers 0<x<=y and z>0 such that sigma(x)^2 = sigma(y)^2 = x^2 + y^2 + z^2.at n=10A385356