## Making Change for America

Guest post by Lee Newberg [but see Comment below]

I stumbled across an old Math Chat column of yours, which mentioned that the number of ways to make change for a dollar is the coefficient of in the Taylor expansion of

.

But I don’t see there, or anywhere on the web, the general formula for the number of ways c(n) to make change for n dollars. In case you are interested, below I derive it to be:

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Spending 1 trillion dollars with the federal stimulus means that Obama has

= 13 333333 333398 333333 333445 333333 333413 833333 333354 500000 000001

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