June 10–June 23, 2008

Problem

Determine A2008 if A0 = A and

A_{n+1} = A_n / (1 + n A_n), for n = 0, 1, 2, ...

Solution

here.

List of solvers

Kunal Vaswani, Steve Wilmarth, Jizhou Li (undergrad); Dustin Moody, Robert Bradshaw, Christopher Green, Doug Faust (graduate); Konrad Schroder (staff); Marina Meila (faculty); Bailey Malone, Dan Siddoway, Eric Brodeur, Kate Smith, Yo Tu, Lloyd Sakazaki, Mike Goodman, Roman Holenstein, Navdeep Jaitly, Peiyush Jain, Li Miao, Abhradeep Thakurta (outside).

Kunal Vaswani wins the prize!