Find the smallest integer solution to the equation 1/x^2 + 1/y^2 = 1/z^2
A group of 20 people pay a total of £20 to see an exhibition. The admission price is £3 for men, £2 for women and 50p for children. How many men, women and children are there in the group?
Euler found four whole numbers such that the sum of any two of the numbers is a perfect square...
Let a(n) be the number of ways of expressing the
integer n as an ordered sum of 1's and 2's. For example,
a(4) = 5 because:
Let b(n) be the number of ways of expressing n
as an ordered sum of integers greater than 1.