1441729

Properties

Appears in sequences

• Number of partial permutations of an n-set; number of n X n binary matrices with at most one 1 in each row and column.at n=8A002720
• Denominators of continued fraction for alternating factorial.at n=16A056953
• Lower triangular matrix, read by rows: T(i,j) = number of ways i seats can be occupied by any number k (0<=k<=j<=i) of persons.at n=35A086885
• Numerator of Laguerre(n, -1).at n=8A160617
• Triangle read by rows: Sum_{j=0..k} binomial(n, j)*binomial(k, j)*j!.at n=44A176120
• Prime numbers ending in Hardy-Ramanujan number 1729.at n=28A193742
• Triangle read by rows: T(n,k) is the number of subpermutations of an n-set whose orbits are each of size at most k.at n=44A261763
• A(n,k) = n! * Laguerre(n,-k); square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=53A289192
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. exp(x/(1-x))/(1-x)^k.at n=53A293985
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = Sum_{j=0..n} k^j * j! * binomial(n,j)^2.at n=53A341014
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = Sum_{j=0..n} j^k * (n-j)! * binomial(n,j)^2.at n=44A341200
• T(n, k) = (n - k)! * [x^(n-k)] exp(k*x/(1 - x))/(1 - x). Triangle read by rows, T(n, k) for 0 <= k <= n.at n=46A343847
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..n} binomial(n+(k-1)*j,k*j)/j!.at n=53A361600
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..n} binomial(n+(k-1)*(j+1),n-j)/j!.at n=53A361616
• Prime numbersat n=110053