367873228800
domain: N
Appears in sequences
- a(n) = Product_{p prime} p^{ Sum_{k>=0} floor[(n-1)/((p-1)p^k)]}.at n=10A053657
- a(n) = phi(lcm(1,2,3,...,n)), where phi is Euler's totient function.at n=28A217863
- a(n) = phi(lcm(1,2,3,...,n)), where phi is Euler's totient function.at n=29A217863
- Denominators of fractions appearing in a generalization of Carleman's inequality.at n=10A249277
- Denominators of an asymptotic series for the Gamma function (even power series).at n=5A277001
- The number of positive integer sequences of length n with no duplicate substrings of length greater than 1, every number different from its neighbors, and a minimal product (= A282169(n)).at n=32A284434
- A variant of payphone permutations: given a circular booth with n payphones, one of which is already occupied, a(n) is the number ways for n-1 people to choose the payphones in order, where each person chooses an unoccupied payphone such that the closest occupied payphone is as distant as possible.at n=19A362192