54213

Appears in sequences

• Numbers k such that phi(k)+sigma(k) is a perfect cube.at n=33A061366
• O.g.f.: Sum_{n>=0} n!*(x/(1+x)^2)^n.at n=9A127548
• Row sums of Riordan array (c(-x^2),xc(-x^2)^2)^(-1) where c(x) is the g.f. of A000108.at n=14A138164
• Number of scalene triangles, distinct up to congruence, on an n X n grid (or geoboard).at n=23A190313
• Number of dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0) steps at positive heights) having only ascents of even length (an ascent is a maximal sequence of consecutive (1,1)-steps).at n=28A191321
• 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 9, n >= 2.at n=28A214376
• Number of partitions of n such that (least part) = (multiplicity of greatest part).at n=44A240180
• Partial sums of icosahedral numbers (A006564).at n=16A302560
• a(n) = Sum_{k=0..n} (4*k+1) * binomial(3*n+k+1,n-k)/(3*n+k+1).at n=7A390519