54722

Appears in sequences

• Number of "connected animals" formed from n 6-gon connected truncated octahedra (or corner-connected cubes) in the b.c.c. lattice, allowing translation and rotations of the lattice.at n=7A038170
• Numbers n such that sigma(n+1)+sigma(n)=3n.at n=8A067806
• Numbers k such that (sigma(k)+sigma(k+1))/k is an integer.at n=10A068078
• Numbers k that divide sigma(k-1)+sigma(k)+sigma(k+1), where sigma() is the "sum of integer divisors" function.at n=7A072188
• Number of solutions to x/3 + y/4 + z/6 < n with x,y,z>=1 .at n=16A128822
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (-1, 1, -1), (0, 0, 1), (1, 0, -1)}.at n=12A148118
• Number of 0..n arrays of length 3 with 0 never adjacent to n.at n=36A212836
• Number of partitions of 6n into exactly 4 parts.at n=33A256328
• Numbers k such that iphi(k) = iphi(k+1), where iphi is the infinitary totient function (A064380).at n=14A301866
• Numbers that are the sum of fourth powers of three distinct positive integers in arithmetic progression.at n=38A306214
• Numbers m such that there exist positive integers i <= m and j >= m such that m = Sum_{k=i..j} A001065(k), where A001065(k) = sum of the proper divisors of k, and i and j do not both equal m.at n=24A346140
• Triangle read by rows: T(n,k) is the number of face-connected components of polyhedra with k prisms and n-k truncated cuboctahedra in the omnitruncated cubic honeycomb up to translation and rotation, 0 <= k <= n.at n=36A384756