53369domain: NAppears in sequencesa(n) = floor(cotangent(n)^3).at n=65A063536Number of freely-braided hexagon-avoiding permutations in S_n; the freely-braided hexagon-avoiding permutations are those that avoid 3421, 4231, 4312, 4321, 46718235, 46781235, 56718234 and 56781234.at n=10A129777