3063060

Appears in sequences

• Increasing values of A000793 (largest order of permutation of n elements).at n=38A002809
• Maximal order of element of alternating group A_{2n}.at n=34A057742
• Maximal order of element of alternating group A_{2n+1}.at n=34A057743
• Leading least prime signatures, ordered by forming the product of primorials greater than 2 with multiplicities given by the canonical sequence of partitions.at n=31A062515
• n-th roots of the n-th powers pertaining to A082236.at n=14A082237
• a(n) = (6n)!/((3n)!(2n)!2^n).at n=3A087216
• a(1) = 1; a(n) = smallest positive unpicked integer such that n-k divides evenly into a(n)*a(k) for every k, 1 <= k <= n-1.at n=18A091861
• a(n) = binomial(n+4,4) * binomial(n+8,4).at n=10A104475
• Where records occur in A018892.at n=36A126098
• Numbers that are products of distinct primorial numbers (see A002110).at n=35A129912
• Smallest number having exactly n triangular divisors.at n=33A130317
• Denominators of the difference between the squarefree totient analogs of the harmonic numbers and the harmonic numbers: F_n - H_n.at n=16A138321
• Numbers with exactly 7 distinct prime divisors {2,3,5,7,11,13,17}.at n=5A147574
• For all sufficiently high values of k, d(n^k) > d(m^k) for all m < n. (Let k, m, and n represent positive integers only.)at n=30A168264
• a(n) = member of A025487 whose prime signature is conjugate to the prime signature of A025487(n).at n=41A181822
• Members m of A025487 such that, if k appears in m's prime signature, k-1 appears at least as often as k (for any integer k > 1).at n=26A182863
• Numbers with prime factorization pqrstu^2v^2.at n=0A190462
• Denominators of partial sums of 1/A216765(n).at n=6A216767
• Smallest integer with exactly n semiprime divisors.at n=23A220264
• Cubefree products of primorials (A002110).at n=26A220423