Continued fractions

(with linear patterns) 

e-2 = 2/(2 + 3/(3 + 4/(4 + 5/(5 + 6(6 + 7...

e/(e-2) = 4 - 1/(5 - 2/(6 - 3/(7 - 4/(8 - 5/(9 - 6...

e = 3 - 1/(4 - 2/(5 - 3/(6 - 4/(7 - 5/(8 - 6/(9 - 7... 

2 = 5/(1 + 8/(4 + 11/(7 + 14/(10 + 17/(13+20...

( e is eulers constant )

( The first one is easy , use eulers formula for continued fractions )

more to come

Thank you for your intrest.

tommy1729