Padé Approximant Related to Asymptotics for Somos’ Quadratic Recurrence Constant

Key Points

• The research focuses on developing better approximations and inequalities for Somos' quadratic recurrence constant.
• Utilized Padé approximation techniques for deriving formulas.
• Examined higher-order approximations to refine results.
• Built upon previous literature to enhance existing bounds.
• Developed new approximation formulas related to the recurrence constant.
• Improved inequalities provide tighter bounds than previously established.