762744

Appears in sequences

• sigma_5(n), the sum of the 5th powers of the divisors of n.at n=14A001160
• Sum of fifth powers of unitary divisors.at n=14A034679
• Sum of 5th powers of odd divisors of n.at n=14A051002
• Sum of 5th powers of odd divisors of n.at n=29A051002
• Sum of 5th powers of the divisors of odd numbers: a(n) = sigma_5(2n-1).at n=7A081864
• a(n) = Sum_{0<d|n, n/d odd} d^5.at n=14A096960
• E.g.f. Sum_{d|M} (exp(d*x)-1)/d, M=15.at n=6A141014
• Dirichlet inverse of A001160, sigma_5.at n=14A178448
• a(n) = Sum_{d|n} (-1)^(n/d+1)*d^5.at n=14A284926
• Expansion of eta(q^2)^12 * eta(q^4)^8 / eta(q)^8 in powers of q.at n=30A286399
• a(n) = Sum_{d|n} (-1)^(d-1)*d^5.at n=14A321544
• a(n) = Sum_{d divides n} (-1)^(d + n/d) * d^5.at n=14A321561
• Sum of the 5th powers of the squarefree divisors of n.at n=14A351268
• a(n) = n^5 * Product_{p|n, p prime} (1 + 1/p^5).at n=14A351300
• Sum of the 5th powers of the odd proper divisors of n.at n=29A352033