Hello, Stonehambey!

Letc(n)be the number of ways of writingnas a sum, where order matters.

So we have: .3 = 3, 3 = 1 + 2, 3 = 2 + 1, 3 = 1 + 1 + 1

Thus:c(3) = 4.

I don't understand that equation.

Both sums diverge to infinity.

We have a board which is units long.

. . . . .

There are places where the board can be cut.

For each place, there are two choices: cut or not cut.