1847560

Appears in sequences

• Apéry numbers: n*C(2*n,n).at n=10A005430
• Triangle of coefficients of Legendre polynomials 2^n P_n (x).at n=37A008556
• Number of symmetric nonnegative integer 8 X 8 matrices with sum of elements equal to 4*n, under action of dihedral group D_4.at n=25A054498
• a(n) = 140*C(2n,n)/(n+4).at n=10A078819
• Number of peaks at even level in all symmetric Dyck paths of semilength n+2.at n=19A088662
• a(n) = n * binomial(n-1, floor((n-1)/2)) = n * max_{i=0..n} binomial(n-1, i).at n=20A100071
• (Product{k|n} k$) / n$. Here '$' denotes the swinging factorial function (A056040).at n=38A163088
• a(n) = (2n+0^n)*C(4n,2n).at n=5A166337
• a(n) = n!/([(n-1)/2]!*[(n+1)/2]!) for n>0, a(0)=0, and where [ ] = floor.at n=20A212303
• Number of profiles in domino tiling of a 2*n checkboard.at n=20A218073
• Square array read by ascending antidiagonals: T(n,k) = [x^k] (1 - x)^(2*k) * Legendre_P(n*k-1, (1 + x)/(1 - x)) for n, k >= 0.at n=58A364513
• a(n) = (5/7) * (9*n)!*(7*n/2)!^2/((9*n/2)!*(7*n)!*(5*n/2)!*n!^2) for n >= 1, with a(0) = 1.at n=3A364517