You seem to be confused with Grin, which has a fixed reward from launch and therefore 1/n inflation after n years.
Doge had MUCH bigger rewards in the first year (emitting 100B DOGE, vs only 5B DOGE for every later year).

Curiously, 1 DOGE costs about the same as 1 Grin, even though the former emits at a 167x higher rate (10000 per minute vs 1 per second).