New presences of π and e in Pascal's triangle

2022/12/19 by Mauricio Guevara V., V., Mauricio Guevara
Physics and Astronomy · Mathematics · #Advanced Mathematical Theories and Applications #Advanced Combinatorial Mathematics #Advanced Mathematical Identities

paper · pdf · doi:10.48550/arxiv.2212.11149

Abstract

The following work shows new connections between the constants π and e with Pascal's triangle and the Lucas triangle, established via Fibonacci polynomials and similar means. Furthermore, relations between the two famous constants and the rows of Pascal's triangle and the Lucas triangle are conjectured, together with some other important related identities.

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