12096000

Appears in sequences

• Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k adjacent pairs of the form (even,even) (0<=k<=floor(n/2)-1).at n=28A145892
• Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k runs of even entries (n >= 2, 1 <= k <= floor(n/2)). For example, the permutation 321756498 has 3 runs of even entries: 2, 64 and 8.at n=28A152667
• Array read by antidiagonals: T(m,n) = m * Sum(1<=i<=m) (m+n-2+i)!at n=30A211367
• E.g.f.: Product_{m>0} (1 + x^(2*m-1) + x^(4*m-2)/2! + x^(6*m-3)/3!).at n=10A293489
• Numbers that set records in in A379772.at n=26A379773