57. FILLED RAMANUJAN'S BIRTHDAY MAGIC SQUARE
 
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Ramanujan's date of birth is 22 12 1887.
Take this as four 2-digit numbers as 22, 12, 18, 87.


1) School-boy Ramanujan's version of the magic-square is as below.


22121887139
2184322139
9216724139
4278226139
139139139139139


2) The other version, repeating the same four birth-day numbers
(Not Ramanujan's work):

22188712139
12871822139
18221287139
87122218139
139139139139139

For serious readers:
1) You may be able to work out other vatiations
2) You need not memorise all of any one magic-square.
3) There are nice patterns in each; Try to find the pattern.
4) You can fill similar magic squares with any 16 consecutive natural numbers, odd numbers or even numbers etc.


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