Recapitulating

Let me recapitulate my contributions in Rational number series :-

1. A base for binomial expressions.  

2. Phi, pi, e and gamma expressions. 

3. Scope for 3 consecutive numbers and 4 consecutive numbers pi expressions as a big theory.

4. Scope for consecutive numbers phi expressions as a big theory.

5. Scope for 3 consecutive numbers and 4 consecutive numbers in origami sheets for symmetry theory.

6. A few infinite series expressions. 

7. A few finite series expressions. 

I believe in openness. And sharing.  That is the crux of paper writing.  References. Anyone interested can use these ideas.

Let's hope for the best.  . . .