Initial number of Lucas’ type series for the generalized Fibonacci sequence

Initial numbers for Lucas? type series have so far been established only Fibonacci (2,1) and Tribonacci (3,1,3) sequences. Characteristics of stated is their asymptotic relation with the exponent constant. By using a simple procedure based on relations exponents sequences constant application Nearest Integer Function - NIF, general rule initial Generalized sequence has established, first time. All gained are integers, number always equal to order Fn(0) = n remaining functionally dependent Fn(k) 2k-1-1. This premiere presentation Prim-nacci sequence, too. Determinants generalized proven factorial function.