Synthesize a new series

[qrious]

I have a set of series of numbers. The set bears some common property about the series. For example, in one case, Series 1 can be the set of random number of odd numbers starting from 1 and Series N can be the set of random number of odd numbers starting from N. In another case, Series 1 can be the set of random number of odd numbers starting from 1, Series N can be the set of random number of (odd number)^N starting from 5 (arbitrary number), and so on. Each series can be of arbitrary length.

Even though the set members are 'similar' in properties, the exact relationship is not known.

I want to generate one additional member of the set that is 'similar' in properties with the existing one.

Questions:

    1. Will Machine Learning be useful for this? If so, which specific term I should do a search on. Sorry for the lack of knowledge here.
    2. I want to minimize the amount of coding, with preference for 0 coding. Which off-the-shelf tool (preference: open source and free) will be useful for this? If programming is needed, I would like to use Python and associated libraries.