17153136

Appears in sequences

• De Bruijn's S(3,n): (3n)!/(n!)^3.at n=6A006480
• Multinomial coefficient n!/([n/3]![(n+1)/3]![(n+2)/3]!).at n=18A022916
• a(n) = 126*(n+1)*binomial(n+5,9)/5.at n=9A027814
• Square array read by antidiagonals of number of ways of dividing n*k labeled items into n labeled boxes with k items in each box.at n=30A060538
• Table T(n,k), 0<=k, 0<=n, read by antidiagonals, defined by T(n,k) = (k*n)! / (n!)^k.at n=51A089759
• Triangle read by rows: T(n, k) = (n*k)!/(n!)^k.at n=17A120666
• Number of 3*n X 18 0..1 arrays with row sums 6 and column sums n.at n=0A172569
• Number of 6*n X n 0..1 arrays with row sums 2 and column sums 12.at n=2A172597
• Number of permutations of 6 copies of 1..n with all adjacent differences <= 2 in absolute value.at n=3A177305
• Number of permutations of 6 copies of 1..n with all adjacent differences <= 3 in absolute value.at n=3A177306
• a(n) = A000984(n)*A004981(n), the term-wise product of the coefficients in (1-4*x)^(-1/2) and (1-8*x)^(-1/4).at n=6A208890
• Central values of the n-th discrete Chebyshev polynomials of order 2n.at n=12A245086
• a(n) = (6n)!/(6!^n).at n=3A248814
• Triangle read by rows: T(n,k) = (3*n - 2*k)!/((n-k)!^3*k!).at n=21A318107
• T(n, k) = (m*n)!/(k!*(n-k)!)^m with m = 3; triangle read by rows, 0 <= k <= n.at n=21A320824
• T(n, k) = (m*n)!/(k!*(n-k)!)^m with m = 3; triangle read by rows, 0 <= k <= n.at n=27A320824
• Ordered set partitions of the set {1, 2, ..., 3*n} with all block sizes divisible by 3, irregular triangle T(n, k) for n >= 0 and 0 <= k < A000041(n), read by rows.at n=25A327023
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) is Sum_{j=0..2*n} (-1)^(n+j) * binomial(2*n,j)^k.at n=51A350594
• Square array read by ascending antidiagonals: T(n,k) = (2*k)!/k! * ( (2*n*k)! * ((2*n+1)*k)! )/( (n*k)!^2 * ((n+1)*k)!^2 ).at n=34A364506
• Square array read by ascending antidiagonals: T(n,k) = (2*k)!/k!^2 * ( (2*n*k)! * ((n + 2)*k)! )/( (n*k)! * ((n + 1)*k)!^2 ) for n, k > = 0.at n=34A364509