6486480
domain: N
Appears in sequences
- a(n) = Product_{i=0..n} (3*i+1)! / (n+i)!.at n=4A036687
- Smallest number with exactly n^2 divisors.at n=19A061707
- Highly composite numbers k such that 2*k is not a highly composite number.at n=15A073771
- Number of labeled cyclic subgroups of S_n having the maximum possible order.at n=13A074260
- Triangle read by rows: T(n,k) is the sum of the weights of all vertices labeled k at depth n in the Catalan tree (1 <= k <= n+1, n >= 0).at n=39A102625
- Integers that can be expressed as a product of triangular numbers in 3 different ways.at n=31A110904
- Smallest number having exactly n triangular divisors.at n=32A130317
- Where records occur in A144262.at n=14A144376
- Integers m such that there is exactly one k < m with sigma(k)/k > sigma(m)/m, sigma(m) being the sum of the divisors of m.at n=23A247022
- Number T(n,k) of 2n-length strings of balanced parentheses of exactly k different types; triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=34A256061
- First differences of A002182 (highly composite numbers, definition 1).at n=52A262501
- Least number with the prime signature of the n-th Fibocyclotomic number, with a(6) = 0.at n=72A278158
- Smallest number with same number of divisors as 3*a(n-1).at n=18A307015
- Highly composite numbers that are a product of two highly composite numbers greater than 1.at n=30A307763
- Largely composite numbers (A067128) with a unique number of divisors.at n=14A308531
- Highly composite numbers (A002182) that are not superabundant numbers (A004394).at n=9A308913
- Numbers k > 0 such that k has more divisors d, such that d-1 is prime, than any other smaller positive number, with a(1) = 1.at n=39A322676
- Highly composite numbers (A002182) that are not superior highly composite numbers (A002201).at n=32A333655
- Noninfinitary highly composite numbers: where the number of noninfinitary divisors (A348341) increases to a record.at n=35A348342
- Highly composite numbers (A002182) such that the exponents of 2 and 3 in their prime factorization are equal.at n=10A348568