Prime Numbers & Such

I should have known better than to read a book titled "Music of the Primes" before bedtime. Now I'm obsessed with pursuing a particular prime-related number sequence and can't sleep.

I wonder if other mathemeticians have stumbled upon the sequence I discovered. The annoying thing about it is that suddenly prime numbers have started showing up within the sequence, which means it's quite possibly useless for predicting primes, even if I come up with a simple formula for it. In any case mathematicians probably have known about it for centuries, but I just was never taught it.