6652800
domain: N
Appears in sequences
- a(n) = n!/6.at n=8A001715
- a(n) = n!*(n+6)! / 6!.at n=5A010795
- Absolute value of determinant of n X n matrix whose entries are the integers from 1 to n^2 spiraling inward, starting in a corner.at n=6A023999
- Number of permutations of an n-set containing a 6-cycle.at n=11A029573
- Denominator of probability that 2 elements of S_n chosen at random (with replacement) generate S_n.at n=10A040174
- A triangle of numbers related to triangle A030524.at n=36A049352
- Generalized Stirling number triangle of first kind.at n=36A049459
- Expansion of e.g.f. (1-2*x-sqrt(1-4*x))/2 - x*(1-2*x-sqrt(1-4*x)) - x^2.at n=8A052715
- E.g.f.: -x^5*log(1-x).at n=11A052794
- Decomposition of Stirling's S(n,2) based on associated numeric partitions.at n=36A058936
- Coefficient triangle of generalized Laguerre polynomials n!*L(n,3,x) (rising powers of x).at n=36A062137
- a(1) = 1, a(k) divides a(k+r) for all k and r and the ratios a(k+r)/a(k) are all different.at n=10A079854
- a(n) is the value of Vandermonde determinant for lexicographically earliest n-mark Golomb-ruler.at n=4A080369
- a(n) = (n-1)(n-4)(n-9)...(n-k^2) where k^2 < n <= (k+1)^2.at n=35A080500
- a(n) = A081456(n)^(1/2).at n=15A081457
- Triangle read by rows: T(n,k)=(n+k)!/k! (0<=k<=n-1; n>=1).at n=31A105725
- Complexity (number of maximal spanning trees) in an unoriented simple graph with nodes {1,2,...,n} and edges {i,j} if i + j > n.at n=11A107991
- a(n) = (2*n + 1)!/(n + 1).at n=5A110468
- Denominators of T(n+1)/n! reduced to lowest terms, where T(n) are the triangular numbers A000217.at n=11A110561
- a(1) = 1. For n >= 2, a(n) = sum of the two (not necessarily distinct) earlier terms, a(j) and a(k), which maximizes d(a(j)+a(k)), where d(m) is the number of positive divisors of m. a(n) = the maximum (a(j)+a(k)) if more than one such sum has the maximum number of divisors.at n=28A115386