Sum of Cubes via Difference Tables
Summary
The post discusses deriving the sum of cubes using difference tables. It starts from a table of n, N and successive differences, showing that N is a fourth-degree polynomial in n. It demonstrates solving for coefficients with Python/NumPy, Mathematica, and spreadsheets, and arrives at the classic closed-form N = (n(n+1)/2)^2, illustrating multiple approaches for educational insight.