From Series to Salad Dressing

In a Scientific American "Roots of Unity" post, Evelyn Lamb gives a recipe that embodies a series expression for e as...a salad dressing.

"Cooking is all about the ratios," she opines, then decides, through process of elimination mostly, that the ingredients of a tangy dressing could come together tastily in the ratios of the terms of the "cute expression" e has as an infinite sum.