A Fibonacci sequence {f_(n)} is a sequence satisfying the Iteration formula f_(1)=f_(2)=1,f_(n+2)=f_(n)+f_(n+1). It is found by Italian mathematician Fibonacci to interpret the growth of the number of rabbits.
Frobenius number of a finite sequence {a...
A Fibonacci sequence {f_(n)} is a sequence satisfying the Iteration formula f_(1)=f_(2)=1,f_(n+2)=f_(n)+f_(n+1). It is found by Italian mathematician Fibonacci to interpret the growth of the number of rabbits.
Frobenius number of a finite sequence {a_(1),a_(2),…a_(n)} of relatively prime positive integer is the maximum integer not represented by the sum of {a_(1),a_(2),…a_(n)}.
Recently, Marim-Alfonsin-Revuelta calculated g(f_(i),f_(i+2),f_(i+k)).
In this paper we will compute the Frobenius number of {f_(i),f_(i+3),f_(i+4)} for large n.