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Simple rendition of the core mechanic from most AAA games.

Only 1.3billion years until he goes double precision...

Δs = ceiling( a(n-1) × 1.5 )
C = (2ⁿ) × X
Δs(0) = ceiling( X/2 )
X ∈ {1, 10, 1000, 500000, 500000000, 50000000000, 1000000000000000}