206098

Appears in sequences

• Large Schröder numbers (or large Schroeder numbers, or big Schroeder numbers).at n=9A006318
• a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-2)*a(2) for n >= 3.at n=9A025240
• Triangular array read by rows associated with Schroeder numbers: T(1,k) = 1; T(n,k) = 0 if k < n; T(n,k) = T(n,k-1) + T(n-1,k-1) + T(n-1,k).at n=54A033877
• Formal inverse of triangle A080246. Unsigned version of A080245.at n=45A080247
• Inverse of the Delannoy triangle.at n=55A103136
• First column of inverse of Delannoy triangle.at n=10A103137
• Square array T(n,d) read by antidiagonals: number of structurally-different guillotine partitions of a d-dimensional box in R^d by n hyperplanes.at n=46A103209
• Triangular array associated with Schroeder numbers: T(0,0) = 1, T(n,0) = 0 for n > 0; T(n,k) = 0 if k < n; T(n,k) = T(n,k-1) + T(n-1,k-1) + T(n-1,k).at n=65A106579
• Number array whose rows are the series reversions of x(1-x)/(1+x)^k, read by antidiagonals.at n=64A107111
• Triangle related to guillotine partitions of a k-dimensional box by n hyperplanes.at n=64A107702
• Triangle read by rows: T(n,k) (0 <= k <= n) is the number of Delannoy paths of length n, having k return steps to the line y = x from the line y = x+1 (i.e., E steps from the line y=x+1 to the line y = x).at n=45A110098
• Triangle read by rows: T(n,k) (0<=k<=n) is the number of Delannoy paths of length n, having k (1,1)-steps on the lines y=x, y=x+1 and y=x-1.at n=45A110183
• Triangle read by rows: T(n,k) (0<=k<=n) is the number of Schroeder paths of length 2n, having k (1,0)-steps on the lines y=0 and y=1 (a Schroeder path of length 2n is a path from (0,0) to (2n,0), consisting of steps U=(1,1), D=(1,-1) and H=(2,0) and never going below the x-axis).at n=55A110189
• Riordan array (1, x*f(x)) where f(x)is the g.f. of A006318.at n=56A122538
• A bisection of A006318.at n=4A138463
• T(n,k) is the number of order-decreasing and order-preserving partial transformations (of an n-chain) of waist k (waist(alpha) = max(Im(alpha))).at n=65A145035
• Expansion of (3 - x - sqrt(1 - 6*x + x^2))/2.at n=10A155069
• Triangle T(n,k) read by rows: coefficients of polynomials P_n(t) defined in Formula section.at n=54A278457
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = Sum_{j=0..n} binomial(n,j) * binomial(k*n+j+1,n)/(k*n+j+1).at n=64A336534
• Triangle read by rows: T(n,k) = Sum_{j=k..n} binomial(n + j, n)*binomial(n, j)/(j + 1).at n=45A351385