The Frobenius Number for Jacobsthal Triples Associated with Number of Solutions

In this paper, we find a formula for the largest integer (p-Frobenius number) such that linear equation of non-negative coefficients composed Jacobsthal triplet has at most p representations. For p=0, problem is reduced to famous Diophantine Frobenius, which called Frobenius number. We also give closed number integers (p-genus), equations have Extensions polynomial and Jacobsthal–Lucas more general formulas include familiar Fibonacci Lucas numbers. A basic with was dealt by Marin, Ramírez Alfonsín M. P. Revuelta p=0 Komatsu Ying p.