74088000

Appears in sequences

• a(n) = (n*(n+1))^3.at n=20A060459
• Number of permutations of (1,3,5,7,9,...,2n-1) where every adjacent pair in the permutation are coprime.at n=11A107761
• Triangle T(n, k) = (-1)^n * n! * StirlingS1(n, k)*StirlingS1(n, n-k)/binomial(n, k), read by rows.at n=30A155825
• Triangle T(n, k) = (-1)^n * n! * StirlingS1(n, k)*StirlingS1(n, n-k)/binomial(n, k), read by rows.at n=33A155825
• Triangle T(n, k, m) = b(n, m)/(b(k, m)*b(n-k, m)), with T(0, k, m) = 1, b(n, k) = Product_{j=1..n} ( Sum_{i=0..j-1} (-1)^(j+i)*(j+1)*(k+1)^i*StirlingS1(j-1, i) ), b(n, 0) = n!, and m = 3, read by rows.at n=24A156764
• Largest n-digit cube whose sum of digits is also a cube, or 0 if there is no such number.at n=7A180738
• Denominator of Sum_{k=1..n} H(k)/k^2, where H(k) is the k-th harmonic number.at n=6A195506
• Denominator of Sum_{k=1..n} (-1)^(k+1)/k^3.at n=6A334582
• Coreful 4-abundant numbers: numbers k such that csigma(k) > 4*k, where csigma(k) is the sum of the coreful divisors of k (A057723).at n=22A340110
• Powerful superabundant numbers: numbers m such that psigma(m)/m > psigma(k)/k for all k < m, where psigma(k) is the sum of powerful divisors of k (A183097).at n=33A349111
• Numbers with a record number of divisors that are both bi-unitary and exponential.at n=12A362853
• Numbers that set records in in A379772.at n=32A379773
• Irregular triangular array read by rows: T(n,k) is the number of compatible pairs (f,g) of functions from [n] into [n] such that the integer partition induced by f and g is the k-th partition in the canonical (reverse lexicographic) ordering of the partitions, n>=0, 1<=k<=A000041(n).at n=39A390121
• Irregular triangular array read by rows: T(n,k) is the number of compatible pairs (f,g) of functions from [n] into [n] such that the integer partition induced by f and g is the k-th partition in the canonical (reverse lexicographic) ordering of the partitions, n>=0, 1<=k<=A000041(n).at n=40A390121