MathDB
Evaluate Sum

Source: Canadian Mathematical Olympiad - 1997 - Problem 5.

May 7, 2011
ratioalgebrapolynomialalgebra unsolved

Problem Statement

Write the sum ∑i=0n(−1)i⋅(ni)i3+9i2+26i+24\sum_{i=0}^{n}{\frac{(-1)^i\cdot\binom{n}{i}}{i^3 +9i^2 +26i +24}} as the ratio of two explicitly defined polynomials with integer coefficients.
Back to ProblemsView on AoPS