Indian Mathematical Olympiad 1988 - Problem 6
Source:
August 14, 2009
algebrapolynomialmodular arithmeticalgebra proposed
Problem Statement
If are the coefficients of the polynomial
\left(1\plus{}x\plus{}x^2\right)^{25}
show that a_0\plus{}a_2\plus{}a_4\plus{}\cdots\plus{}a_{50} is even.