Re the matter of the index origin in J being 0, you may find of interest the 
article “Neumbering”, by O. G. Cassani & John Horton Conway, from the 40th 
anniversary issue of “The Mathematical Intelligencer”:

This proposes a resolution of the issue of what to call the initial element of 
an ordered list if you are using index origin 0 (as in J).

Murray Eisenberg                      
Mathematics & Statistics Dept.       
Lederle Graduate Research Tower      phone 240 246-7240 (H)
University of Massachusetts                
710 North Pleasant Street                 
Amherst, MA 01003-9305

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