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Home > Archives > Volume 20, No 5 (2022) > Article

DOI: 10.14704/nq.2022.20.5.NQ22229

Generalized Pascal’s Triangle and its Properties

Dr.R. Sivaraman, J. Suganthi, P.N. Vijaykumar, Dr.R. Sengothai

Abstract

Pascal Triangle named after French mathematician and Scientist Blaise Pascal contain rich source of mathematical properties. Ever since, Pascal provided its mathematical significance, several mathematicians and scientists had shown great interest in discovering new properties that can exist among numbers in Pascal’s Triangle. In this paper, we had generalized the Pascal’s Triangle in a novel way and had derived some interesting properties related to the generalized forms.

Keywords

Pascal’s Triangle, Pascal’s Triangle of mth order, Binomial Coefficients, South – East Diagonal, Hockey Stick Property

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