Problem 52861. Easy Sequences 37: Natural Factorable Polynomials
A polynomial of the form:
, for
, is said to be natural factorable if it can be factored into products of first degree binomials:
, where,
and
are all natural numbers (i.e. integers that are
).
Given an integer a, write a function that counts the number of all possible natural factorable polynomials that can be formed, wherein
.
For example, when
, the are 7 possible natural factorable polynomials, namely:
Therefore the function output should be 7.
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