143430domain: NAppears in sequencesa(n) = n*(n+1)*(20*n-17)/6.at n=35A172117a(n) = number of permutations of (1,2,...,n) producible by an ordered triple of distinct transpositions.at n=12A253171Number of unlabeled graphs on n vertices without 4-cycles or 5-cycles.at n=12A366220