This curve can be easily generated with a spreadsheet.
You can set cell A1 to be 100 and then B1 will be this formula
And fill down about 150 or more cells.
Then copy row B and paste formula result into column A.
Repeat till you get bored.
If you sort by size and graph, you will get a curve that looks like this.
My question is, does this curve have a name and is there an equation that generates it?
Edit to explain where this question comes from.
If you choose a basket of stocks, like the S&P 500, and buy $1000 worth of each stock, then the values of the stocks will change and if you graph them they will form this curve.