30574

Appears in sequences

• Start with a single triangle; at n-th generation add a triangle at each vertex, allowing triangles to overlap; sequence gives total population of triangles at n-th generation.at n=21A061777
• Number of ways of arranging the numbers 1..n in a circle so that there is no consecutive triple i, i+1, i+2 or i, i-1, i-2 (mod n).at n=8A078628
• Number of binary strings of length n with equal numbers of 00001 and 11011 substrings.at n=16A164210
• Number of circular permutations of length n with no consecutive triples i,i+2,i+4 (mod n) or i,i-2,i-4 (mod n).at n=4A174079
• Capped binary boundary codes for holeless strictly non-overlapping polyhexes (all orientations and rotations included).at n=30A258002
• Capped binary boundary codes for fusenes (all orientations and rotations included).at n=30A258012
• Semiprimes A001358(k) = p*q such that p*q+p+q and r*s+r+s are consecutive primes, where A001358(k+1)=r*s.at n=11A330478