67040

Appears in sequences

• a(n) = Z(S_m; sigma[1](n), sigma[2](n),..., sigma[m](n)) where Z(S_m; x_1,x_2,...,x_m) is the cycle index of the symmetric group S_m and sigma[k](n) is the sum of k-th powers of divisors of n; m=3.at n=27A068020
• Number of binary strings of length n with equal numbers of 00100 and 00110 substrings.at n=17A164235
• n*(n+1)*(15*n^2-n-8)/12.at n=15A172047
• a(n) = Sum_{d|n} d*2^(n/d)*tau(d).at n=15A174478
• a(n) = (122n^3 + 140n^2 + 45n + 3n(-1)^n)/8.at n=16A191698
• Fibonacci sequence beginning 13, 8.at n=19A206610
• The numbers k for which gcd(k, phi(k)) + gcd(k, tau(k)) = gcd(k, sigma(k)).at n=9A326416
• Expansion of Sum_{0<i<j<k<l<m} q^(2*(i+j+k+l+m)-5)/( (1-q^(2*i-1))*(1-q^(2*j-1))*(1-q^(2*k-1))*(1-q^(2*l-1))*(1-q^(2*m-1)) )^2.at n=31A365667