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this is understandable I will use 132 bits of entropy as a string plus the increments for extra security and uniqueness plus it would be deterministic for me if whenever I forget I can recover it however the big number is just hard to recover if lost so the point stands that I will use string, not my name as I gave that just as an example I will use a string with 132 bits of entropy as that is strong and used by electrum as well plus by using GPU I don't want to save all those billions of addresses so i will only save the addresses that match the pattern but with my method of string+n increments and for this increments are necessary if you use same string billions of times it will generate the same address but if you add the needed numbers/increments it will fulfil the task of pattern and uniqueness since using 132 of entropy for single address is not very economical I would say.
A random string with 132-bit entropy is much better than what I initially thought you were doing (
just make sure you add the string at the end of n and not the other way around), but in my opinion, if you really want to generate keys this way then I suggest ditching SHA2 hashing functions and use
Scrypt for your algorithm instead, which can be tweaked to make brute-forcing infeasible.