Logarithmic behavior of some combinatorial sequences (CROSBI ID 137909)
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Došlić, Tomislav ; Veljan, Darko
engleski
Logarithmic behavior of some combinatorial sequences
Two general methods for establishing the logarithmic behavior of recursively defi ned sequences of real numbers are presented. One is the interlacing method, and the other one is based on calculus. Both methods are used to prove logarithmic behavior of some combinatorially relevant sequences, such as Motzkin and Schröder numbers, sequences of values of some classic orthogonal polynomials and many others. The calculus method extends also to numbers indexed by two or more parameters.
an numbers; Motzkin numbers; Bell numbers; Secondary structures; Orthogonal polynomials
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