73789

Appears in sequences

• Central trinomial coefficients: largest coefficient of (1 + x + x^2)^n.at n=12A002426
• Number of symmetric, reduced unit interval schemes with n+1 intervals (n>=1).at n=24A005213
• Sum of the squares of the trinomial coefficients (A027907).at n=6A082758
• Numerators of the coefficients of (x-1)(x-2)... in the interpolating polynomial through the first n primes.at n=26A118210
• Triangle read by rows: T(n,k) is the number of paths in the right half-plane from (0,0) to (n,0), consisting of steps U=(1,1), D=(1,-1), h=(1,0) and H=(2,0), having k H=(2,0) steps (0 <= k <= floor(n/2)).at n=42A132885
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (1, -1, -1), (1, 0, 0), (1, 1, 0)}.at n=9A150302
• T(n,k) = largest coefficient in the expansion of (1 + ... + x^(n-1))^(2*k).at n=30A163269
• Number of n X 12 0..2 arrays with row sums 12 and column sums n.at n=1A172640
• Number of 6*n X n 0..2 arrays with row sums 2 and column sums 12.at n=1A172703
• Number of n X 12 0..3 arrays with row sums 12 and column sums n.at n=1A172741
• Number of n X 12 0..4 arrays with row sums 12 and column sums n.at n=1A172820
• Number of n X 12 0..5 arrays with row sums 12 and column sums n.at n=1A172870
• Number of n X 12 0..6 arrays with row sums 12 and column sums n.at n=1A172906
• Number of n X 12 0..7 arrays with row sums 12 and column sums n.at n=1A172927
• Number of n X 12 0..8 arrays with row sums 12 and column sums n.at n=1A172949
• 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=12A273020
• Irregular triangle read by rows: T(n,m) = number of lattice paths of type {A^H}_R terminating at point (n, m).at n=36A291080
• 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=34A337389
• Array read by ascending antidiagonals: the s-th column gives the central s-binomial coefficients.at n=38A349933