50803200

Appears in sequences

• a(n) = 2*(n!)^2.at n=7A048617
• E.g.f. 1/(1-x-x^4).at n=10A052593
• Expansion of e.g.f. (1+3x-3x^2)/(1-x)^2.at n=10A052644
• E.g.f. (1-x)/(1-x-x^3-x^4+x^5).at n=10A052651
• Size of the automorphism group of the group S_n x S_n (where S_n is the symmetric group).at n=6A063965
• Order of the subgroup of the symmetric group S_n generated by the cycles (1,3) and (1,2,3,...,n).at n=11A069660
• Least multiple of n! sandwiched between twin primes, or 0 if no such number exists.at n=9A090531
• a(n) = 2(m!)^2 for n = 2m and m!(m+1)! for n = 2m+1.at n=14A092186
• Expansion of e.g.f.: sqrt(1+2x)/sqrt(1-2x).at n=9A110491
• Denominator of x(n) = Sum_{k=1..n} ((odd part of k)/(k^3)).at n=8A111919
• Denominator of x(n) = Sum_{k=1..n} ((odd part of k)/(k^3)).at n=9A111919
• a(1)=1. a(n+1) = n!/lcm(a(1),a(2),...,a(n)).at n=21A131120
• Number of permutations of {1,2,...,n} with all odd entries preceding all even entries or all even entries preceding all odd entries.at n=14A152875
• Triangle read by rows: T(n,k) (n>=1, 3<=k<=n+2) is the number of k-sequences of balls colored with at most n colors such that exactly three balls are the same color as some other ball in the sequence.at n=51A292930
• Denominator of the coefficient of z^(-2*n) in the Stirling-like asymptotic expansion of Product_{z=1..n} z^(z^3).at n=2A318714
• Number of permutations of length n that possess the maximal sum of distances between contiguous elements.at n=16A328378
• Numbers with a record number of divisors that are perfect powers (A091050).at n=37A330873
• 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=14A340110
• Numbers with a record number of non-unitary square divisors.at n=24A358253