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Numerical formula

I wrote a program that counts cube positions by taking into account only the identities of length 4 and the identities of length 12. The results of this program are in the second column below:

 d                  positions I4     positions I4&I12   positions  ALL
--                  ------------     ----------------   --------------

 0                             1                    1                1                        
 1                            12                   12               12                       
 2                           114                  114              114