10160640

Appears in sequences

• a(n) = (n+2)!/4 + n!/2.at n=9A006595
• E.g.f. (1-x)^2/(1-2x+x^2-x^3).at n=9A052625
• a(n) = (3*n + 1)*n!.at n=9A082033
• Triangle T(n,k) = n!*binomial(n-1, k-1) for 1 <= k <= n, read by rows.at n=38A156992
• Triangle T(n,k) = n!*binomial(n-1, k-1) for 1 <= k <= n, read by rows.at n=42A156992
• Number of ways to arrange n books on 3 consecutive shelves leaving none of the shelves empty.at n=6A200978
• Number of (n+2)X5 binary arrays avoiding patterns 001 and 011 in rows and columns.at n=10A202095
• Number of (n+1)X(4+1) 0..1 arrays with nondecreasing sum of every two consecutive values in every row and column.at n=11A250428
• Triangle read by rows, T(n,k) = (k+1)*(n+1)!*(n+k)!/((k+1)!^2*(n-k)!) with n >= 0 and 0 <= k <= n.at n=30A253284
• Coefficients in q-expansion of (E_4 + E_2^2)/2, where E_2 and E_4 are the Eisenstein series shown in A006352 and A004009, respectively.at n=35A282017
• a(n) = lcm([ n!*binomial(n-1, m-1) / m! for m = 1..n ]) with a(0) = 1.at n=9A359365