In last week’s post we looked at aspects of puzzles of the form *“What is the next number”.* We are presented with a short list of numbers, for example and asked for the next number in the sequence. Arguments were given indicating why *any* number might be regarded as the next number.

In this article we consider a sequence of seven ones: . Most people would agree that the next number in the sequence is . We will show how the number could be the “correct” answer. Continue reading ‘Low-pass Filtering and the Remarkable Integrals of Borwein and Borwein’