Let us consider a sequence whose first term is 1.2 - and, the numbers appearing respectively to the right and the left of the decimal point of a given term are swapped and this number is added to a given term to obtain the next term.

For example, if a term is 46.78 then the next term will be 46.78+ 78.46 = 125.24.

For some of the terms in the sequence, the numbers appearing before the decimal point and the numbers appearing after the decimal point are congruent. Considering the first 30 terms, how many terms do have this property?

Note: Terms like 792.792 are deemed to have the desired property. However terms like 3870.387 do not possess this property as 3870 is not equal to 387.

(In reply to computer solution by Charlie)

Ty, Charlie.

I confirm having incorporated your methodology in my solution.

Posted by K Sengupta on 2012-03-21 10:04:48