Trasformazioni di interi e loro proprietà combinatoriali
Groups and monoids of Pythagorean triples connected to conics
We define operations that give the set of all Pythagorean triples a structure of commutative monoid. In particular, we define these operations by using injections between integer triples and 3 × 3 matrices. Firstly, we completely characterize these injections that yield commutative monoids of integer triples. Secondly, we determine commutative monoids of Pythagorean triples characterizing some Pythagorean triple preserving matrices. Moreover, this study offers unexpectedly an original connection...
Transforming recurrent sequences by using the binomial and invert operators.
A generalization of the binomial interpolated operator and its action on linear recurrent sequences.
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