MathDB

2014 Guts #28: Extension of Standard Polynomial Problem

Source:

August 26, 2014

algebrapolynomialbinomial theorem

Problem Statement

Let

f(n)

and

g(n)

be polynomials of degree

2014

such that

f(n)+(-1)^ng(n)=2^n

for

n=1,2,\ldots,4030

. Find the coefficient of

x^{2014}

g(x)