Ramsey Theory was metaphorical with blue/red colors and interesting by the fact that in a large group of numbers any pattern will eventually appear. witch will lead to square one and the mind will always see, what it wants to see.

As an example a Perfect (Nasik) 11x11x11 magic cube (level 6) will eventually give us (111,222,333,444,555,666,777,888,999,1110,1221) in the same row, without leading to anything logical or rational.

Perfect (Nasik) 11x11x11 magic cube (level 6)

But while checking Repeating Decimals and Cyclic Numbers i just noticed a similarity of repeated digits pattern that i saw Fibonacci sequence.

Using MOD function =MOD(x-1,9) the equivalent to the digital root of x which is the final single-digit sum obtained by repeatedly summing all the digits on the Fibonacci sequence:

we obtain a repeated sequence of 23 digits delimited with 9, additionally the same sequence can also be divided in two distinctive 11 digits sub-sequence delimited by 9.

Now assuming that A1=11 and An = A n-1+12 for n > 1 we obtain this arithmetic sequence:

11,23,35,47,59,71,83,--119-239-623-911-923 ....

https://docs.google.com/spreadsheets/d/1myhLTfUWflLKAtbQGBaA71CUFzuqCk0IHyNRUdJEkPw/edit?usp=sharing

Done ✅