Resumen de Binet's formula for generalized tribonacci numbers
In this note, we derive Binet's formula for the general term of the generalized tribonacci sequence. This formula gives explicitly as a function of the index n, the roots of the associated characteristic equation, and the initial terms , , and . By way of illustration, we obtain Binet's formula for the Cordonnier, Perrin, and Van der Laan numbers. In addition, we establish a double identity that can be regarded as a parent of Binet's formula for generalized tribonacci numbers.
