44240

Appears in sequences

• Number of ways to quarter a 2n X 2n chessboard.at n=5A003213
• a(n) = n*(n+2)*(2*n-1)/3. Also, row sums of triangle A131422.at n=39A131423
• Duplicate of A131423.at n=39A143371
• Bisect A053445 then calculate the first differences of the resulting sequence.at n=38A160643
• Total area under all the level steps in all peakless Motzkin paths of length n (n>=0).at n=13A171849
• Triangle T(n,m) = coefficient of x^n in expansion of [x*(x+1)^(x+1)]^m = sum(n>=m, T(n,m) x^n*m!/n!).at n=31A202190
• Triangle T(n,k) represents the coefficients of (x^16*d/dx)^n, where n=1,2,3,...; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.at n=25A223518
• a(n) = floor(M(g(n-1)+1,..,g(n))), where M is the harmonic mean and g(n) = n^4.at n=14A227013
• A046802(x,y) --> A046802(x,y+1), transform of e.g.f. for the graded number of positroids of the totally nonnegative Grassmannians G+(k,n); enumerates faces of the stellahedra.at n=31A248727
• a(n) = 4*(n + 1)*(n + 2)*(4*n + 3)/3.at n=19A267522
• Irregular triangle read by rows where T(n,k) is the number of independent sets of size k in the n-hypercube graph.at n=29A354802