4233600

Appears in sequences

• a(n) = n! * lcm({1, 2, ..., n+1}).at n=7A002397
• Denominator of constant term in polynomial arising from numerical integration formula.at n=7A002670
• Ratios of successive terms are 1,1,2,3,3,4,5,5,6,7,7,...at n=12A004395
• Number of simplices in barycentric subdivision of n-simplex.at n=6A005461
• a(n) = Product_{k=1..n} binomial(2*k,k).at n=5A007685
• Triangular array a(n,k) = (1/k)*Sum_{i=0..k} (-1)^(k-i)*binomial(k,i)*i^n; n >= 1, 1 <= k <= n, read by rows.at n=51A028246
• Number of k-simplices in the first derived complex of the standard triangulation of an n-simplex. Equivalently, T(n,k) is the number of ascending chains of length k+1 of nonempty subsets of the set {1, 2, ..., n+1}.at n=41A053440
• Coefficient triangle of generalized Laguerre polynomials n!*L(n,2,x) (rising powers of x).at n=38A062139
• Consider Pascal's triangle A007318; a(n) = product of terms at +45 degrees slope with the horizontal.at n=11A073617
• Generalized Stirling2 array (4,2).at n=18A090438
• Third column (k=4) of array A090438 ((4,2)-Stirling2).at n=3A091033
• Triangle read by rows, 0 <= k <= n, T(n,k) = Sum_{j=0..n} A(n,j)*binomial(n-j,k) where A(n,j) are the Eulerian numbers A173018.at n=48A130850
• Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k entries divisible by 3 that are followed by a smaller entry (n>=1, k>=0).at n=25A136718
• Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k entries divisible by 3 that are followed by a smaller entry (n>=1, k>=0).at n=29A136718
• a(n) = 7^n - 6*6^n + 15*5^n - 20*4^n + 15*3^n - 6*2^n + 1.at n=9A228909
• Triangle read by rows: the positive terms of A163626.at n=28A249163
• Triangle read by rows: T(n,k) (n>=1, 3<=k<=n+2) is the number of k-sequences of balls colored with n colors such that exactly two balls are of a color seen previously in the sequence.at n=49A281944
• Triangle T(n, k) read by rows: T(n, k) = S2(n, k)*k! + S2(n, k-1)*(k-1)! with the Stirling2 triangle S2 = A048993.at n=52A285867
• Numbers n such that sigma(n)/usigma(n) > sigma(m)/usigma(m) for all m < n, where sigma(n) is the sum of divisors of n (A000203) and usigma(n) is the sum of unitary divisors of n (A034448).at n=35A285906
• Numbers k such that k and the next two numbers after k with the same prime signature as k also have the same set of distinct prime divisors as k.at n=24A340303