MathDB

2

Part of 1991 Canada National Olympiad

Problems(1)

digits in base 2

Source: 1991 Canadian MO #2

9/23/2011
Let nn be a fixed positive integer. Find the sum of all positive integers with the property that in base 22 each has exactly 2n2n digits, consisting of nn 1's and nn 0's. (The first digit cannot be 00.)
number theory unsolvednumber theory