Nope.... Try 1.2Years...

You'd be looking at 1 female creating 50-female seeds every 3-months ...

1,000,000,000 = 1x50^n where n = number of seasons.

After n = 5 seasons, you'd have ~9.75Million seeds;
After n = 6 seasons, you'd have ~15.63Billion seeds;

when n = 5.29 seasons (if you could have partial seasons) -- you'd hit ~1Billion seeds.

If you can go from seed to flower in 12 weeks (3months) you’d have 4 growing Seasons in one year.... so 5 growing Seasons =1.2years

I am going to try this with my Ruderalis Hybrids. I will send you a few Billion seeds in 1.5 years.

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