51891840

Appears in sequences

• a(n) = n!/5!.at n=8A001725
• A triangle of numbers related to triangle A030527.at n=36A049374
• Generalized Stirling number triangle of first kind.at n=36A051338
• E.g.f. 1/((1-x)(1-x-x^2)).at n=9A052646
• Coefficient triangle of generalized Laguerre polynomials n!*L(n,5,x)(rising powers of x).at n=36A062138
• Triangle read by rows: T(n,k)=(n+k)!/k! (0<=k<=n-1; n>=1).at n=33A105725
• Irregular triangle of coefficients of a partition transform for direct Lagrange inversion of an o.g.f., complementary to A134685 for an e.g.f.; normalized by the factorials, these are signed, refined face polynomials of the associahedra.at n=31A133437
• Triangle of unsigned 3-Lah numbers.at n=36A143498
• Lower triangular array, called S1hat(6), related to partition number array A145356.at n=36A145357
• Triangle T(n,k) read by rows: T(n,k) = n! * binomial(n + k - 1, n).at n=42A156991
• Triangle t(n,m) read by rows which contains in row n integer values of n! * binomial(n+m+1,m+1) / binomial(n-m-1,m+1) sorted along increasing m.at n=28A176993
• Triangle read by rows: T(n,k) = binomial(2*n,k)*Stirling2(2*n-k,n).at n=41A226703
• Product of 8 consecutive integers. a(n) = RisingFactorial(n, 8).at n=6A239035
• Triangle read by rows: T(n,k) (n>=6, k=3..n-3) is the number of topologies t on n points having exactly k open sets such that t contains exactly one open set of size m for each m in {0,5,6,7,...,s,n} where s is the size of the largest proper open set in t.at n=35A268223
• Denominators of the coefficients in the expansion of li^{-1}(x)/x in powers of 1/LambertW(-1,-e/x).at n=28A337735
• Triangle read by rows. T(n, k) = binomial(n - 1, k - 1)*(n + k)! / k!.at n=34A357367
• Triangular array T(n,k) read by antidiagonals T(n,k) = F(n)!/(F(k)!*F(n-k)!), where F(m) = A000045(m) = m-th Fibonacci number.at n=30A360208
• Triangular array T(n,k) read by antidiagonals T(n,k) = F(n)!/(F(k)!*F(n-k)!), where F(m) = A000045(m) = m-th Fibonacci number.at n=33A360208
• Integers k such that A000010(k) <= A008480(k).at n=22A364750