Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Several people commented that I should write the formulas explicitly, but I have trouble using the format here so I've used Mathematica. Perhaps someone more skillfull could typeset this.
@Douglas Zare I'm going to add the formulas as you've suggested using the format of the programming language Mathematica since I can, hopefully, just copy and paste that. Hopefully someone will typeset them.
Can the first factor of the product be (1-x-x^2-x^3-...) that is can all the coefficients be minus one and still satisfy the conditions for the series, that its coefficients be from {-1,0,+1}?
It seems that the even numbers in the sequence mentioned are numbers which can be written in an odd number of ways as a sum 2a^3+4b^3, where a and b are non-negative numbers.
