MathDB

2

Part of 1988 IMO Shortlist

Problems(1)

(x^2 + x + 1)^n

Source: IMO ShortList 1988, Problem 2, Bulgaria 3, Problem 3 of ILL

10/22/2005
Let n n be a positive integer. Find the number of odd coefficients of the polynomial u_n(x) \equal{} (x^2 \plus{} x \plus{} 1)^n.
algebrapolynomialfunctionbinomial coefficientsgenerating functionsIMO Shortlist