Harris, A. BrooksMeir, Yigal2023-05-232023-05-231987-08-152015-07-14https://repository.upenn.edu/handle/20.500.14332/43121A recursive method for enumerating clusters on a hypercubic lattice in d spatial dimensions is presented from which the weak embedding constants are determined as polynomials in d. A tabulation for all clusters having no free ends is available for nb≤15, where nb is the number of bonds. As illustrated here and elsewhere, this tabulation can be used to generate many series expansions. A novel method of checking the enumeration with an algebraic calculation is presented.PhysicsArticle