INCONGRUENT TRIANGLE TRIPLES WITH INTEGERS.

Ruy Madsen BARBOSA[1]

§    ABSTRACT: The work gives a systematic study and obtainment of incongruent triangle triples with integers of perimeter n. The author presents as main results two recurrence relations for the perimeter, even of even, and odd of odd; is given as consequence three generating functions, for n even, odd and any one, and closed formulas of counting with finite differences.

§    KEYWORDS: Incongruent triangle triples; recurrence relations for perimeter of same kind; generating functions; closed formulas.

 



[1] Professor Aposentado – Instituto de Biociências, Letras e Ciências Exatas – UNESP – São José do Rio Preto – SP.