190590400

Appears in sequences

• Number of partitions of { 1, 2, ..., 3n } into sets of size 3.at n=6A025035
• Square array read by antidiagonals downwards: T(n,k) = (n*k)!/(k!^n*n!), (n>=1, k>=1), the number of ways of dividing nk labeled items into n unlabeled boxes with k items in each box.at n=33A060540
• Triangle read by rows: T(n,k) is the number of partitions of [1, 2, ..., k] into exactly n blocks, each of size 1, 2 or 3 (n >= 0, 0 <= k <= 3n).at n=68A144385
• Triangle read by rows: T(n,k) is the number of partitions of [1, 2, ..., k] into exactly n blocks, each of size 1, 2 or 3 (n >= 0, 0 <= k <= 3n).at n=69A144385
• Irregular triangle read by rows: T(n,k) = number of ways to assign n people to d_k unlabeled groups of equal size (where d_k is the k-th divisor of n).at n=55A200473
• a(n) is the number of abelian subgroups of maximal order in S_n.at n=16A265311
• a(n) is the number of abelian subgroups of maximal order in S_n.at n=17A265311
• Lagrange inversion, or reversion, for divided power series with odd powers only.at n=19A277394
• Triangle read by rows, expansion of e.g.f. exp(x*(exp(z)/3 + 2*exp(-z/2)* cos(z*sqrt(3)/2)/3 - 1)), nonzero coefficients of z.at n=27A291451
• Coefficients of the Omega polynomials of order 3, triangle T(n,k) read by rows with 0<=k<=n.at n=27A318147
• Coefficients of polynomials related to ordered set partitions. Triangle read by rows, T_{m}(n, k) for m = 3 and 0 <= k <= n.at n=27A326587
• Irregular triangle read by rows in which the n-th row lists multinomials for partitions of 3n which have only parts which are multiples of 3, in Hindenburg order.at n=29A327003
• Array read by ascending antidiagonals. A(n, k) = Product_{j=0..k-1} binomial((j + 1)*n - 1, n - 1) if n >= 1, and A(0, k) = 1 for all k.at n=51A361948