MathDB
Putnam 2014 A1

Source:

December 7, 2014
Putnamfunctionrelatively primeprime factorizationPutnam calculusPutnam 2014

Problem Statement

Prove that every nonzero coefficient of the Taylor series of (1āˆ’x+x2)ex(1-x+x^2)e^x about x=0x=0 is a rational number whose numerator (in lowest terms) is either 11 or a prime number.