33512

Appears in sequences

• Zagier's function -J_1(4*n-1).at n=3A027654
• (1/8)*number of lattice points with odd indices in a cubic lattice inside a sphere around the origin with radius 2*n.at n=39A120884
• Triangle read by rows: T(n,k) is the number of even trees with 2n edges and jump-length equal to k (0<=k<=n-1).at n=47A127535
• Sum of the heights of all dispersed Dyck paths of length n (i.e., of Motzkin paths of length n with no (1,0) steps at positive heights).at n=16A191315
• Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths ending at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 4, n >= 2.at n=48A214122
• Numbers k such that sigma(k) = sigma(k - d(k)).at n=32A277273
• a(n) = Sum_{k=1..n} (k/gcd(n, k))^2.at n=46A332654
• G.f.: Sum_{k>=1} (k^3 * x^(k^2) / Product_{j=1..k} (1 - x^j)).at n=42A333151