I need a Mathematics Researcher
Budget: $30 – $250 SGD
Need to find a proof for the Frobenius number of the set of 3 Fibonacci Numbers: {F_i, F_(i+3), F_(i+k)}, in a closed form. The proofs for {F_i, F_(i+2), F_(i+k)} and {F_i, F_(i+1), F_(i+k)} already exist so this research will be in search for the closed form solution to this problem.
Research has been carried out and a closed form solution has already been found for Fibonacci numbers two terms apart and a third Fibonacci number.
The paper with that research is here: http://emis.impa.br/EMIS/journals/INTEGERS/papers/h14/h14.pdf
Having carried out some calculations, the pattern is very similar for Fibonacci numbers three terms apart and would be most likely have a very similar solution.
Research has been carried out and a closed form solution has already been found for Fibonacci numbers two terms apart and a third Fibonacci number.
The paper with that research is here: http://emis.impa.br/EMIS/journals/INTEGERS/papers/h14/h14.pdf
Having carried out some calculations, the pattern is very similar for Fibonacci numbers three terms apart and would be most likely have a very similar solution.