Author(s)

Ji Peng

Department of Electronic Information, Nanjing University, Nanjing, China.

Formal Calculation, formerly known as the Shape of Numbers, is suitable for calculating some nested sums. The formula has been obtained, and the calculation problem of various combinations of arithmetic sequences has been solved. This paper analysis the coefficients of the formulas and obtain some simplified identities. Furthermore, the Formal Calculation is extended from binomial coefficient to Gaussian coefficient, and the application is extended from two parameters forms to multiparameter forms.

Formal Calculation, Shape of Numbers, Calculation Formula, Combinatorics, Gaussian Coefficient, Stirling Number

Peng, J. (2022) Application and Popularization of Formal Calculation. Open Access Library Journal, 9, 1-21. doi: 10.4236/oalib.1109483.