Is this formula for partitions already there?

I'm not a mathematician and I came up with this formula for partitions. Is it well known? P(n)= floor((q^(m(m+1)/2) (q^n + G)) / ((q - 1)(q^2 - 1)...*(q^m - 1))) mod q q = 2^(n + 2) m = floor(n / 2) G = (q^(n - m) - 1) / (q - 1)