In this paper we define the  th polygonal polynomial
th polygonal polynomial  and we investigate recurrence relations and exact integral formulae for the coefficients of
 and we investigate recurrence relations and exact integral formulae for the coefficients of  and for those of the Mahonian polynomials
 and for those of the Mahonian polynomials  . We also explore numerical properties of these coefficients, unraveling new meanings for old sequences and generating novel entries to the Online Encyclopedia of Integer Sequences (OEIS). Some open questions are also formulated.
. We also explore numerical properties of these coefficients, unraveling new meanings for old sequences and generating novel entries to the Online Encyclopedia of Integer Sequences (OEIS). Some open questions are also formulated.
 
						
 carpathian_2019_35_1_01_12_abstract
carpathian_2019_35_1_01_12_abstract


 
		 
		 
		 
		 
		 
		 
		 
		 
		