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Summary
This article studies the convergence of the infinite series of the reciprocals of the Catalan numbers. We extract the sum of the series as well as some related ones, illustrating the power of the calculus in the study of the Catalan numbers.
Additional information
Notes on contributors
Thomas Koshy
Thomas Koshy ([email protected]) received his Ph.D. in Algebraic Coding Theory from Boston University. His interests include algebra, number theory, and combinatorics.
Zhenguang Gao
Zhenguang Gao ([email protected]) received his Ph.D. in Applied Mathematics from the University of South Carolina. His interests include information science, signal processing, pattern recognition, and discrete mathematics. He currently teaches computer science at Framingham State University.
