1401400

Appears in sequences

• Number of partitions of { 1, 2, ..., 3n } into sets of size 3.at n=5A025035
• Second diagonal of A027446.at n=16A027449
• Triangle of Stirling numbers of order 3.at n=34A059022
• 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=25A060540
• 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=49A144385
• 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=50A144385
• Triangle in A144385 with rows left-adjusted.at n=34A144399
• Triangle in A144385 with rows left-adjusted.at n=35A144399
• a(n) = (15*n^2+45*n-70)*binomial(n+4,6)/8.at n=11A144516
• Tetrahedron of numbers T(i,j,k) = (i+2*j+3*k)!/(i!*j!*k!*2^j*6^k) read with entries in the order defined in A144625.at n=54A144626
• Tetrahedron of numbers T(i,j,k) = (i+2*j+3*k)!/(i!*j!*k!*2^j*6^k) read with entries in the order defined in A144625.at n=55A144626
• 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=43A200473
• Triangular array read by rows: T(n,k) is the number of 2-regular labeled graphs on n nodes that have exactly k connected components (cycles); n>=3, 1<=k<=floor(n/3).at n=34A201013
• a(n) is the number of abelian subgroups of maximal order in S_n.at n=12A265311
• a(n) is the number of abelian subgroups of maximal order in S_n.at n=13A265311
• a(n) is the number of abelian subgroups of maximal order in S_n.at n=14A265311
• 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=19A291451
• 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=20A291451
• Coefficients of the Omega polynomials of order 3, triangle T(n,k) read by rows with 0<=k<=n.at n=20A318147
• a(0) = 1 and a(n) = (5*n)!/(5!*n!^5) for n > 0.at n=3A322252