The sequence 1, 2, 4, 8, 16, devised by number theorist Leo Moser in 1949, takes an unexpected turn after 16, continuing with 31, 57, and 99, rather than the anticipated 32. Known as Moser’s circle area problem, this sequence illustrates the pitfalls of assuming patterns without deeper analysis. The sequence is derived from a problem involving cutting a circular pizza into the maximum number of slices by marking points on its edge and making straight cuts between them. Initially, the number of slices follows a doubling pattern, but with six points, the pattern shifts, resulting in 31 slices. This sequence is cataloged as “A000127” in The On-line Encyclopedia of Integer Sequences (OEIS). The underlying logic involves combinatorics, specifically the binomial coefficient, which calculates the intersecting lines from connecting points on the pizza’s edge.
QUESTION: Why do you think it’s important to question and verify patterns rather than accepting them at face value?
How pizza can solve this unusual math puzzle
