OEIS A000106: Second power of rooted tree enumerator

Dive into A000106, the number of linear forests of two rooted trees (the second power of the rooted-tree enumerator A000081). We’ll see how this sequence arises from self-convolution of rooted trees, discuss its exponential growth with a rate near 2.955765 (A051491), and explore the ideas of higher-order convolutions and their links to combinatorics and number theory.

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