Conditions of separability of weight factors from the sums with members of sequences of two aspects

Representation of conditions of separability of integer weight factors from the sequences organizing a basis of enciphering is described. Two aspects of such sequences are considered: a geometrical progression and sequence with equal powers of natural numbers. These sequences of constant signs and alternating sequences are used when generating the relative summarized residuals, expression of each of which is located in a central part of a double inequality. Definition of conditions of separability involving the residual sequence — a geometrical progression is made with reference to its common ratio, and conditions of separability involving the the residual sequence containing equal powers of natural numbers, are found using the accompanying function introduced with reference to integer arguments of formed values of relative summarized residuals.