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The Smarandache Concatenated Sequences and the Definition of Smarandache-Coman Constants

We understand by “Smarandache-Coman constants” the numbers with n digits obtained by concatenation from the digital root of the first n terms of a Smarandache concatenated sequence, if the digital root of the terms of such a sequence form themselves a periodic sequence, with a periodicity equal to n. Note that not every Smarandache concatenated sequence is characterized by a Smarandache-Coman constant, just some of them; it is interesting to study what are the properties these sequences have in common; it is also interesting that sometimes more such sequences have the same value of Smarandache-Coman constant and also to study what these have in common.