Pascal’s triangle, non‐adjacent numbers, and D-dimensional atomic orbitals

The topics in chemico‐physical poblems which are related to Pascal’s triangle and asymmetrical Pascal’s triangle are collected and their mathematical relations are discussed. The selected topics are: ESR hyperfine splitting, spin–spin coupling of NMR, topological indices of linear and cyclic hydrocarbons, and the number of degeneracy of the atomic orbitals of D-dimensional hydrogen atom. The relation between the Pascal’s and asymmetrical Pascal’s triangles is also discussed.