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  5. Analysis of recurrent number systems using generating functions

Analysis of recurrent number systems using generating functions

I.M. Fedotova-Piven
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In this paper the method of generating functions used for classification of recurrent number systems with the same rules of simultaneous addition up to 5 numbers inclusive. With the help of generating functions computed general formula n-th term of each numerical sequence. It is shown that the same generating functions may correspond to various recurrence relations with the same initial values.
Keywords: multi-operand addition, generating functions, recurrent number system, redundancy, simultaneous addition