57540

Appears in sequences

• Theta series of A_6 lattice.at n=37A008446
• Denominators of continued fraction convergents to sqrt(266).at n=7A041499
• a(0)=1, a(1)=2, a(n) = a(n-1)*9/2 - Catalan(n-1) where Catalan(n) = binomial(2n,n)/(n+1) = A000108(n).at n=8A067336
• Square array read by antidiagonals: T(n,k)=T(n,k-1)*n^2/(n-1)-Catalan(k-1) with a(n,1)=n-1 and a(1,k)=0 where Catalan(k)=C(2k,k)/(k+1)=A000108(k).at n=47A067346
• a(n) = 64*n^2 - 2*n.at n=29A158067
• Triangle related to the o.g.f.s. of the right-hand columns of A028421 (E(x,m=2,n)).at n=33A163937
• G.f.: exp( Sum_{n>=1} 3 * Jacobsthal(n)^3 * x^n/n ), where Jacobsthal(n) = A001045(n).at n=7A211895
• Number of (n+2)X(2+2) 0..1 arrays with the (lower) medians of each row and column unequal to its neighbors.at n=3A238033
• Number of (n+2)X(4+2) 0..1 arrays with the (lower) medians of each row and column unequal to its neighbors.at n=1A238035
• T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with the (lower) medians of each row and column unequal to its neighbors.at n=11A238037
• T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with the (lower) medians of each row and column unequal to its neighbors.at n=13A238037
• Number of generalized polyforms on the truncated square tiling with n cells.at n=9A343577