172800

Appears in sequences

• Triangle of numbers n!(n-1)!...(n-k+1)!/(1!2!...k!).at n=24A009963
• a(n) = n! * (n+1)! * (n+2)! / (2! * 3!).at n=3A010797
• Place n distinguishable balls in n boxes (in n^n ways); let f(n,k) = number of ways that max in any box is k, for 1 <= k <= n; sequence gives f(n,n-2)/n.at n=22A019579
• a(n) = n*(n - 1)^3/2.at n=25A019582
• Theta series of lattice E6 tensor E6 (dimension 36, det. 531441, min. norm 4).at n=3A033695
• Square array a(n,k) read by antidiagonals: a(n,1)=n, a(1,k)=k, a(n,k) = a(n-1,k-1)*a(n-1,k)*a(n,k-1).at n=26A047675
• Square array a(n,k) read by antidiagonals: a(n,1)=n, a(1,k)=k, a(n,k) = a(n-1,k-1)*a(n-1,k)*a(n,k-1).at n=22A047675
• Row 2 of square array defined in A047675: 2*n!*(n+1)!.at n=5A047677
• a(n) = n*(n+1)^2*(n+2)^3*(n+3)^2*(n+4).at n=2A057658
• Products of distinct factorials.at n=27A058295
• Decomposition of Stirling's S(n,2) based on associated numeric partitions.at n=23A058936
• Values of x in positive integer solutions of x^2 + y^5 = z^3, listed in increasing order of z. (If a z-value occurs twice, list solutions in increasing order of y.)at n=14A070065
• Numbers n such that n! is a product of distinct factorials k!*l!*m!*... with k, l, m, etc. < n.at n=28A075082
• Coefficient of x^0 in P(n,x) = (Product_{i=0..n-1} i!^2)/matdet(M(n)) of degree n^2 where M(n) is the n X n matrix m(i,j) = 1/(i+j+x).at n=3A079478
• Generalized Stirling2 array (4,3).at n=12A090440
• Non-perfect powers k for which q = A051903(k)/A051904(k) is an integer, A051904(k) > 1.at n=22A093770
• Hook products of all partitions of 11.at n=36A093790
• Hook products of all partitions of 11.at n=37A093790
• Numbers with incrementally smallest ratio A002034(n)/n.at n=55A094371
• Number of divisors of n! that are coprime to n.at n=31A095997