399072960

Appears in sequences

• De Bruijn's S(3,n): (3n)!/(n!)^3.at n=7A006480
• Multinomial coefficient n!/([n/3]![(n+1)/3]![(n+2)/3]!).at n=21A022916
• Triangle read by rows: T(n, k) = (n*k)!/(n!)^k.at n=23A120666
• Number of 7*n X n 0..1 arrays with row sums 2 and column sums 14.at n=2A172602
• a(n) = (7n)!/(7!^n).at n=3A172603
• Number of permutations of 7 copies of 1..n with all adjacent differences <= 2 in absolute value.at n=3A177308
• Number of permutations of 7 copies of 1..n with all adjacent differences <= 3 in absolute value.at n=3A177309
• Triangle read by rows: T(n,k) = (3*n - 2*k)!/((n-k)!^3*k!).at n=28A318107
• Square array read by ascending antidiagonals: T(n,k) = F(n) * (4*k)!/(k!*(k + n + 1)!^3), where F(n) = (1/8)*(4*n + 4)!/(n + 1)!; n, k >= 0.at n=23A361032
• Square array read by ascending antidiagonals: T(n,k) = F(n) * (4*k)!/(k!*(k + n + 1)!^3), where F(n) = (1/8)*(4*n + 4)!/(n + 1)!; n, k >= 0.at n=26A361032
• a(n) = 2520*(4*n)!/(n!*(n+2)!^3).at n=5A361034
• 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=43A364506
• 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=43A364509
• a(n) = Product_{k=0..n-1} (3*n+4*k).at n=6A384166