731808

Appears in sequences

• a(n) = Product_{i=1..n} ((i+5)*(i+6)*(i+7)*(i+8)*(i+9))/(i*(i+1)*(i+2)*(i+3)*(i+4)).at n=3A047831
• Number of antichains (or order ideals) in the poset 5*m*n or plane partitions with not more than m rows, n columns and entries <= 5.at n=39A056941
• Number of antichains (or order ideals) in the poset 5*m*n or plane partitions with not more than m rows, n columns and entries <= 5.at n=41A056941
• Related to the expected length of the shortest nonintersecting path through n points on a Sierpiński Gasket from corner to corner.at n=3A076744
• Square array T(n,k) read by antidiagonals: number of tilings of an <n,k,n> hexagon.at n=31A103905
• Triangle of Hankel transforms of certain binomial sums.at n=32A120257
• Triangle of central coefficients of generalized Pascal-Narayana triangles.at n=39A120258
• Number of walks of length 2*n+2 from origin to (1,1) in a square lattice.at n=5A135389
• Number of 3 X 5 matrices with elements in 0..n with each row and each column in nondecreasing order. 3,5,n can be permuted, see formula.at n=5A140901
• The number of parents of successive approximations used in a greedy approach to creating a Garden of Eden in Conway's Game of Life.at n=27A196447
• Denominators of poly-Cauchy numbers c_n^(2).at n=10A224094
• Integer areas of orthic triangles of integer-sided triangles.at n=32A230402
• Numbers n such that 2n-1 and 2n+1 divide 2^n-1.at n=23A233089
• Number of 6-cycles in the n X n rook graph.at n=8A288960
• Triangle T(i,j) read by rows: Number of plane bipolar orientations with i+1 vertices and j+1 faces.at n=20A296419
• a(n) = binomial(n - 1, ceiling(n/2)) * binomial(n - 1, ceiling(n/2) - 1).at n=13A378070
• Number of triples of non-crossing lattice paths from (0,0) to (n,n) using (1,0) and (0,1) as steps.at n=5A382136
• Triangle T(n,k) of coefficients of polynomials arising from Gaussian-weighted Chebyshev integrals.at n=23A391950