Mathematics Problem Of the Week

Spring 2008

POW #2

The Digits Factorial Reciprocal Sum

For any natural number n, let d(n) count the number of digits in n and d(n)! be the factorial for this count. So, for example, d(2008)!=4!=24.

Evaluate the sum

Due Friday, February 8^th at Noon.

Solutions should be submitted to Dr. R. Lock's mailbox in the Math/CS/Stat office or sent via e-mail to rlock@stlawu.edu.