Fibonacci Series..........

Fibonacci numbers Equation: F(n) = F(n-1) + F(n-2)

Series :0, 1,1,2,3,5,8,13,21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, 5702887, 9227465, 14930352, 24157817, 39088169

1. Fibonacci numbers whose internal digits form a Fibonacci number. Or Fibonacci numbers from which deleting the MSD and LSD leaves a Fibonacci number.

0, 1,1,2,3,5,8,13,21,34, 55, 89, 233, 610, 987 (The sequence is finite.)

2. Fibonacci numbers whose external digits form a Fibonacci number. Or Fibonacci numbers whose MSD and LSD form a Fibonacci number.

0, 1,1,2,3,5,8,13,21,34, 55, 89,121393, 1836311903, 2504730781961, 10610209857723, 10284720757613717413913, 184551825793033096366333, 59425114757512643212875125, 155576970220531065681649693

3. Fibonacci numbers whose external digits as well as internal digits form a Fibonacci number.

0, 1,1,2,3,5,8,13,21,34, 55, 89