@article{Li2024, 
author = {Chunli Li and Wenchang Chu},
title = {Remarkable series concerning              (                      3        n            n              )       and harmonic numbers in numerators},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {7},
pages = {17234-17258},
keywords = {Lambert's series, harmonic number, binomial coefficient, dilogarithm function, Bailey's cubic transformation},
url = {https://www.sciopen.com/article/10.3934/math.2024837},
doi = {10.3934/math.2024837},
abstract = {Three classes of infinite series containing binomial coefficient              (                      3        n            n              )      , harmonic-like numbers, and an independent variable "   y" are examined. Several algebraic formulae in closed form are established, including, as special cases, three conjectured values for numerical series by Z.-W. Sun. This is fulfilled by integrating Lambert's series and manipulating the cubic transformations for the            3              F      2      -series through the "coefficient extraction" method.}
}