One-dimensional site and bond percolation problems with bonds connecting Lth nearest neighbours are solved exactly by using an infinite cell to cell renormalisation group transformation. Both 'thermal' and magnetic critical exponents are obtained through the scaling relations. Although universality breaks down for site and bond percolation when L>or=2, Suzuki's weaker universality (1974) still holds.
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Li et al. (1983) studied this question.