1646568

Appears in sequences

• a(n) = Product_{i=1..n} ((i+4)*(i+5)*(i+6)*(i+7))/(i*(i+1)*(i+2)*(i+3)).at n=5A047835
• Number of antichains (or order ideals) in the poset 4*m*n or plane partitions with at most m rows and n columns and entries <= 4.at n=49A056940
• Number of antichains (or order ideals) in the poset 4*m*n or plane partitions with at most m rows and n columns and entries <= 4.at n=50A056940
• 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=40A056941
• Number of ways to tile hexagon of edges n, n, n+1, n, n, n+1 with diamonds of side 1.at n=4A071094
• Square array T(n,k) read by antidiagonals: number of tilings of an <n,k,n> hexagon.at n=41A103905
• Triangle of Hankel transforms of binomial(n+k, k).at n=40A120247
• Triangle of Hankel transforms of certain binomial sums.at n=39A120257
• Triangle of central coefficients of generalized Pascal-Narayana triangles.at n=50A120258
• Series expansion for mean-squared radius of gyration of rectangles on square lattice.at n=21A121782
• Number of 4 X 5 matrices with elements in 0..n with each row and each column in nondecreasing order. 4,5,n can be permuted, see formula.at n=4A140902
• G.f.: 1 = Sum_{n>=0} a(n) * x^n * Sum_{k=0..n} C(n,k)^3 * (-x)^k.at n=5A247032