V. E. Goncharenko Many similarities to the syracuse sequences

An expression for the formation of numerical sequences is obtained, in which the Syracuse sequences, in accordance with the Collatz hypothesis, are a special case. The expression contains an arbitrary integer divisor value. The possibility of forming numerical sequences similar to the Syracuse ones for divisors from three to thirty was tested, while the initial values ranged from one to one hundred million. For certain values of the divisors, sequences were formed ending in a cyclic return to the value of one, as is observed in the Syracuse sequences. It is concluded that it is possible to obtain numerical sequences similar to those of Syracuse.

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