184225041

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=8A047835
• Number of 4 X 8 matrices with elements in 0..n with each row and each column in nondecreasing order. 4,8,n can be permuted, see formula.at n=4A140913
• An eight-products triangle sequence of coefficients: T(n,k) = binomial(n,k) * Product_{j=1..7} j!*(n+j)!/((k+j)!*(n-k+j)!).at n=40A142468
• Triangle T(n,k) read by rows: T(n,k) = Product_{j=0..n-1} binomial(n+j,k)/binomial(k+j,k).at n=40A342972
• The number of lozenge tilings of a semiregular hexagon of side lengths n, n, 2*n, n, n and 2*n; equivalently, the number of plane partitions whose solid Young diagram fits inside an n X n X 2*n box.at n=4A352656