I didn't manage to solve a specific math riddle (anyway, i'm not a maths freak), maybe you can, so here it is:
where you can notice that:
Σ Cn= Σ odd Cn + Σ even Cn
The "odd Cn" and "even Cn" columns must be filled respectively with odd results of An+Bn and even results of An+Bn
For instance: If the result of A6+B6 is even, place the result in "Even Cn" column in the 6th line, and you put a 0 at the "Odd Cn" column in the same line.
if the result is odd, it's the other way round.
Warning: An, Bn and Cn are natural numbers (zero excluded) !
And the result of Σ odd Cn must be also an odd number.
However , the terms B1, B2, B3, B4, ect... -of the sum ΣBn- have not to be increasing or decreasing numbers.
Accepting these instructions, how do you proceed to determine n max and replace B1, B2, B3, ect.. with number in such manner we get
ΣAn= Σ odd Cn and ΣBn= Σ even Cn at the same time?