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.
multi-operand addition, generating functions, recurrent number system, redundancy, simultaneous addition
"Analyz rekurrentnыkh system schyslenyia s pomoshchiu proyzvodiashchykh funktsyi" [Analysis of recurrent number systems using generating functions],
Science and Technology of the Air Force of Ukraine,