MathDB

BMT 2014 Spring - Individual 18

Source:

January 22, 2022

number theory

Problem Statement

Suppose the polynomial

f(x) = x^{2014}

is equal to

f(x) =\sum^{2014}_{k=0} a_k {x \choose k}

for some real numbers

a_0,... , a_{2014}

. Find the largest integer

m

such that

2^m

divides

a_{2013}