This might be helpful: https://en.wikipedia.org/wiki/Generating_function Generating functions provide a general framework for describing sequences, solving recurrence relations, etc.
Down the rabbit hole of pedantry: we don't need a distribution, just a measure, if we want to talk about how many reals it accepts. The Lebesgue measure is implied on the Reals if none is given, and the computable reals…
This might be helpful: https://en.wikipedia.org/wiki/Generating_function Generating functions provide a general framework for describing sequences, solving recurrence relations, etc.
Down the rabbit hole of pedantry: we don't need a distribution, just a measure, if we want to talk about how many reals it accepts. The Lebesgue measure is implied on the Reals if none is given, and the computable reals…