27456

Appears in sequences

• Eighth column of quadrinomial coefficients.at n=9A001919
• Number of partitions of n into parts 1/2, 3/4, 7/8, 15/16, etc.at n=18A002843
• a(n) = 2^n * C(n+1), where C(n) = A000108(n) Catalan numbers.at n=6A003645
• Even numbers to the left of the central elements of the (1,2)-Pascal triangle A029635.at n=37A029647
• Even numbers to the right of the central numbers of the (2,1)-Pascal triangle A029653.at n=32A029661
• a(n) = n*binomial(2*n-2, n-1).at n=8A037965
• a(n) = C(n)*(9*n + 1) where C(n) = Catalan numbers (A000108).at n=7A050479
• One eighth of eighth unsigned column of Lanczos triangle A053125.at n=3A054331
• 1/512 of 11th unsigned column of triangle A053120 (T-Chebyshev, rising powers, zeros omitted).at n=7A054334
• Expansion of Jacobi form of weight 12 and index 1 for the Niemeier lattice of type E_8^3 or D_16+E_8.at n=7A055747
• a(n) = (n+1)*binomial(n+7, 7).at n=7A056001
• The n-th n-gonal number: a(n) = n*(n^2 - 3*n + 4)/2.at n=39A060354
• Triangle T(n,k) read by rows: related to David G. Cantor's sigma function.at n=51A073165
• Consider a Pythagorean triangle with sides a=u^2-v^2, b=2uv, c=u^2+v^2. The sequence is the area of the triangle when v=2, u=3,4,5,...at n=21A096382
• Triangle T(n,k) read by rows, T(n, k) = binomial(2*k, k)*binomial(n, k), 0<=k<=n.at n=43A098473
• Square array T(n,k) read by antidiagonals: T(n,k) = Product_{1<=i<=j<=k} (n+i+j-1)/(i+j-1).at n=33A102539
• T(n,k) = 2^k*binomial(n,2k+1), where 0 <= k <= floor((n-1)/2), n >= 1.at n=52A105070
• A square array of Motzkin related transforms, read by antidiagonals.at n=59A107267
• Triangle read by rows: T(n,k) is the number of Grand Dyck paths of semilength n and having k returns to the x-axis.at n=50A108747
• Triangle read by rows: T(n,k) is the number of Grand Dyck paths of semilength n and having k returns to the x-axis.at n=47A108747