L. Bytautas et Dj. Klein, Formula periodic table for the isomer classes of acyclic hydrocarbons - Enumerative and asymptotic characteristics, CROAT CHEM, 73(2), 2000, pp. 331-357
The overall set of acyclic hydrocarbons CnH2m with classical valence struct
ures is considered, the structural isomers are enumerated, and the results
displayed in the form of a >>periodic table<< with the C atom count n and H
atom half-count m respectively identifying rows and columns. Asymptotic n
--> infinity behaviors of these enumerations are developed, first for fixed
degree u = n+1-m of unsaturation and second for fixed number 2m of H-atoms
. The first-set isomer classes increase in size exponentially fast with n,
whereas with the second set, the isomer-class sizes increase sub-exponentia
lly, as a power of n.