Finding Euler number using box algebra and generalized skew-hooks (with computer program)
Date of Publication
1994
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
This paper discusses the recursive formula En+1= 1/2EiEn-i, with initial conditions Eo = 1, and E1 = 1, for finding the Euler numbers. These numbers appear as the coefficients of the Maclaurin series expansion for sec x and tan x.The main objective of this paper is to present a nonrecursive formula for obtaining the Euler numbers. This makes use of skew-hooks and column products. Euler numbers are expressed as linear combinations of multinomial coefficients. Also a computer program was developed to generate some of these Euler numbers.
Abstract Format
html
Language
English
Format
Accession Number
TU06637
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
69 leaves
Keywords
Euler's numbers; Algebra--Computer programs; Programming (Mathematics); Skew fields; Linear operators--Generalized inverses; Fields, Algebraic
Recommended Citation
Ang, S. A., & Calayan, E. G. (1994). Finding Euler number using box algebra and generalized skew-hooks (with computer program). Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16156
