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:
;
;
;
;
; and
Therefore the function output should be 7.
Solve

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50.0% Correct | 50.0% Incorrect
Last Solution submitted on Apr 27, 2024

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