## Citation

Blair, David Dakota, "Counting Restricted Integer Partitions" (2015). CUNY Academic Works.

## Polynomials for `m` up to 23.

### 2015-08-31

Let `p_b(n)` be the number of integer partitions of `n` whose parts are powers of `b`.
For each `m` there is a generating function identity:
`f_m(b,q)\sum_{n} p_b(n) q^n = (1-q)^m \sum_{n} p_b(b^m n q)q^n`
where `n` ranges over all integer values.
This dataset is a JSON object with keys `m` from 1 to 23 whose values are `f_m(b,q)`.
This file is also published as Polynomials occuring in generating function identities for b-ary partitions
at CUNY Academic Works.