133210

Appears in sequences

• Number of generalized weak orders on n points.at n=6A004123
• a(n) = (2*n - 1)*(7*n^2 - 7*n + 6)/6.at n=38A063490
• Array read by antidiagonals: generalized ordered Bell numbers Bo(r,n).at n=26A094416
• Triangle T(n,k), read by rows, given by (0, 2, 3, 4, 6, 6, 9, 8, 12, 10, 15, ...) DELTA (1, 0, 1, 0, 1, 0, 1, 0, 1, 0, ...) where DELTA is the operator defined in A084938.at n=29A185285
• a(n) = n*(n + 1)*(n + 2)*(9*n - 7)/12.at n=20A264852
• a(n) = (n^2 - 3*n + 6)*binomial(n+2,3)/4.at n=20A301973
• T(n, k) = F(n - k, k), where F(n, x) is the Fubini polynomial. Triangle read by rows, T(n, k) for 0 <= k <= n.at n=38A344499
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = Sum_{i=0..k*n} 2^i * Sum_{j=0..i} (-1)^j * binomial(i,j) * binomial(i-j,n)^k.at n=29A384362