OEIS A000606: Signed trees and their links to rooted and unrooted trees

In this episode we explore A000606, the OEIS sequence counting signed trees on n nodes. We’ll unpack how signing the edges creates distinct structures, walk through small-n examples, and explain the generating function that connects A000606 to rooted trees (A000151) and unrooted trees (A000238). We’ll also discuss the interplay between signed-tree symmetries and the relationship between rooted and unrooted trees, plus potential applications in computer science and physics.

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