The notation, upon replacing potassium with sodium, can refer to a water glass composition. The unique notation, in my opinion, is warranted based on the following comment by a source to quote:
"Despite of years of investigations, there are still questions about the molecular species configuration of these solutions that need to be answered to gain clarity over the best conditions for the various applications"
"When adding sodium hydroxide (NaOH) to a water glass, the ratio (molar or weight) SiO2/Na2O is decreased. This ratio is called water glass modulus (n) and determines various physical and chemical properties such as the pH and the viscosity of the solution."
"the viscosity is extremely dependent on the modulus and increases as the solution becomes either more siliceous or more alkaline, i.e. at both higher and lower SiO2/Na2O molar ratios (n). Since the viscosity of such disperse systems like this is given by the silicate conformation i.e. extended chain conformation and the degree of polymerization..."
"the degree of polymerization of the predominant silicate species in the alkali-solution..."
So we have apparently a weakly specified structure characterized by extended chain conformation and degrees of polymerization with its rather unique notation (seems right to me).