85176

Appears in sequences

• 4-dimensional figurate numbers: a(n) = n*binomial(n+2, 3).at n=25A002417
• Theta series of E_6 lattice.at n=36A004007
• a(0)=1, a(1)=5, a(n) = sum_{k=0}^{k=n-1} 5^k a(k).at n=4A015490
• Product of product of divisors of n and sum of divisors of n.at n=38A076722
• Bisection of A002417.at n=12A100431
• Lower triangular array, called S1hat(6), related to partition number array A145356.at n=30A145357
• Third column (m=3) of triangle A145357 (S1hat(6)).at n=5A145360
• Smallest k such that p^p -+ k is prime, where p=prime(n).at n=20A157719
• Coefficients in q-expansion of (3*E_2*E_4 - 2*E_6 - E_2^3)/1728, where E_2, E_4, E_6 are the Eisenstein series shown in A006352, A004009, A013973, respectively.at n=39A282097
• a(n) = lcm(sigma(n), pod(n)) where sigma(k) = the sum of divisors of k (A000203) and pod(n) = the product of divisors of k (A007955).at n=38A324529
• Number of factorizations of n into factors (greater than 1) of n kinds.at n=23A329365
• a(n) = lcm(tau(n), sigma(n), pod(n)) / gcd(tau(n), sigma(n), pod(n)) where tau(k) is the number of divisors of k (A000005), sigma(k) is the sum of divisors of k (A000203) and pod(k) is the product of divisors of k (A007955).at n=38A329929
• a(n) = lcm(n, tau(n), sigma(n), pod(n)) / gcd(n, tau(n), sigma(n), pod(n)) where tau(k) is the number of divisors of k (A000005), sigma(k) is the sum of divisors of k (A000203) and pod(k) is the product of divisors of k (A007955).at n=38A334985
• a(n) = lcm(tau(n), sigma(n), pod(n)) where tau(k) is the number of divisors of k (A000005), sigma(k) is the sum of divisors of k (A000203) and pod(k) is the product of divisors of k (A007955).at n=38A336723
• The Dedekind psi function value of the smallest cube divisible by n.at n=38A392169
• The Dedekind psi function value of the smallest cubefull number that is a multiple of n.at n=38A392171