Chapter 6 : Additive Palindromicness of Natural Numbers
(F32 Conway's RATS and palindromes)

Abstract

Almost all nutural number seems to become palindromic after several iteration of addition with reverse order of itself. (I say this as "Additive Palindromicness of Natural Numbers".)

For example, in case of 76,

 76 + 67 = 143
143 + 341 = 484

after 2 iterations, 76 becomes palindromic.

Following problems are still unsolved.

• Proof or counter example of which always become palindromic or not after finite iteration
• Is 196 palindromic ?
• How about 879 ? Are 196 and 879 same series or not ?
• The number which becomes palindromic after many iterations

In order to understand this problems, please challenge the following questions

• Q1 : Additive palindromicness of 89
• Q2 : Additive palindromicness of 196
• Q3 : Find a number which requires much more iterations than that of 89

Contents

1. Addition with reverse of itself
2. Program
3. Result of computation and change of plan

• Series of diversity

4. Conclusion

• Program

5. Complement