  In this paper we study the action of a generalization of the Binomial
interpolated operator on the set of linear recurrent sequences. We find how the
zeros of characteristic polynomials are changed and we prove that a subset of
these operators form a group, with respect to a well-defined composition law.
Furthermore, we study a vast class of linear recurrent sequences fixed by these
operators and many other interesting properties. Finally, we apply all the
results to integer sequences, finding many relations and formulas involving
Catalan numbers, Fibonacci numbers, Lucas numbers and triangular numbers.
