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[ May 10, 2018 ]
The discovery of new irregular non-palindromic and
without ending with zero square number reversals
Andres 'Tush' Molina (email) [ from Vail, Arizona ]

The OEIS Sequence of square number reversals, non-palindromic,
without ending with zero and irregular is A284986.

Most of the roots are pseudo-reversals and I only discovered 2 sporadic ones.
The sporadic roots are 103043953125 and 229469560449
Its square numbers are
1030439531252 = 10618056275627197265625|

2294695604492 = 52656279172657265081601

Next, I also discovered the smallest pseudo-reversal with m=-2 which is
11100010811111 = 11100011m11111 and 11110811000111 = 11111m11000111

For pseudo-reversals, n=-1 and m=-2 we use
the following substitutions
1n=09, 2n=19, 3n=29, 1m=08, 2m=18
10n=099, 1nn=809, 20n=199, 2nn=189.
10m=098, 1nm=088, 1mm=078, 1mn=079,
20m=198, 2nm=188, 2mm=178, 2mn=179.
 ``` 11100011m11111 x 11100011m11111 ----------------- 11100011m11111 .11100011m11111 ..11100011m11111 ......11100011m11111 .......11100011m11111 ........mmm000mm4mmmmm .........11100011m11111 ..........11100011m11111 ...........11100011m11111 ............11100011m11111 .............11100011m11111 ----------------------------- 123210240006781080121054321 ```

123210240006781080121054321 is the smallest square number whose reversal
is also a square number but their roots are pseudo-reversal with m=-2

111000108111112 = 11100011m111112 = 123210240006781080121054321|

111108110001112 = 11111m110001112 = 123450121080187600042012321

A000204 Prime Curios! Prime Puzzle
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