5196627

Appears in sequences

• Central trinomial coefficients: largest coefficient of (1 + x + x^2)^n.at n=16A002426
• Number of symmetric, reduced unit interval schemes with n+1 intervals (n>=1).at n=32A005213
• Sum of the squares of the trinomial coefficients (A027907).at n=8A082758
• T(n,k) = largest coefficient in the expansion of (1 + ... + x^(n-1))^(2*k).at n=47A163269
• Number of 8*n X n 0..2 arrays with row sums 2 and column sums 16.at n=1A172715
• a(n) = A002426(n^2), where A002426 is the central trinomial coefficients.at n=4A225602
• a(n) = Sum_{k=0..n} C(n,k)*((-1)^n*(C(k,n-k)-C(k,n-k-1))+C(n-k,k+1)).at n=16A273020
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of sqrt((1+(k-4)*x+sqrt(1-2*(k+4)*x+((k-4)*x)^2)) / (2 * (1-2*(k+4)*x+((k-4)*x)^2))).at n=53A337389
• Array read by ascending antidiagonals: the s-th column gives the central s-binomial coefficients.at n=57A349933