I did not use Mathematica I use Maple when needed. See books by Thomas Koshy for excellent references on Fib nos.

I use Mathematica to find possible solutions for Diophantine equations evolving the Fibonacci sequence and their generalizations, but I do not have a reference instead of my own work. If you have interest, I could send you my .nb file, wich have some useful functions already defined for this matter.

Cheers,

Ana Paula

                                                 Dear A. D. Godase ,

According to me, you can use successfully links http://www.wolframalpha.com/input/?i=+Fibonacci+Sequences (the site is based on the Mathematica of Stephen Wolfram) and http://mathworld.wolfram.com/search /? query = Fibonacci + Sequences + & x = 9 & y = 14 with a lot of information about Fibonacci numbers. Good luck! Your sincerely, Anna Tomova

I think The MATHEMATICA Book 5 written by Stephen Wolfram and published by Wolfram Media is the best book for any mathematica code.

I consider all these answers in this thread useful BUT Fermat sequrences have so many good and concise , usually close-type formulas available that using Mathematica is like killing a fly with a rifle, unless it is a good "excuse; to get to kvw the super power of Mathematica for specific purposes.I myself use Matkab (4th decimal round offs  suffices for my neds) but even a good programable scientific pocket calculator usually is also good enough!

You can find the interesting discussion on this subject on the Mathematica StackExcgange:

http://mathematica.stackexchange.com/questions/31593/fibonacci-sequence-generator

It covers the build-in function Fibonnacci which is recursion function as well as other different propositions.

Dear Prof. Godase,

I would like to mention some really good books as references for Mathematica.

1. M L. Abell  and J P. Braselton,   Mathematica by Example,  Academic Press, 2004.

2. S Wolfram,  Mathematica, Version 5,  Wolfram Media & Cambridge Univ. Press.

3. E. Don, Schaum's Outline of Mathematica, 2edn,  McGrawHill, 2009.

4. S. Wagon, Mathematica® in Action: Problem Solving Through Visualization and Computation, Springer, 2010.

5. J. W. Gray, Mastering Mathematica: Programming Methods and Applications, Academic Press, 1998.

I am not sure whether these books are the correct suggestions for your query. Please respond if they are useful

Thank you

I send You the address in Internet :  http://www.wolframalpha.com/input/?i=+Fibonacci%27s+numbers and I hope that it will be suitable for You. Sincerely Yours, Anna Tomova.