M(n) is the collection of molecules associated with the number n.
consider a directed acyclic graph where each node has 2 or more branches
then M(n) is the number of these graphs with n leaves
M(n) is cataloged at OEIS and a recursive formula is given.
example of a collaborative game
we can imagine sources as human relationships
atoms are like people, molecules are like communities
Prime Factorization is a difficult algebra problem because the number of variables we are solving for is unknown.
Prime Factorization Visualization
Are decomposition charts like below for sources of 5 atoms always planar graphs when the sources have more than 5 atoms?