everccasionally 

Everccasionally is when you do something more than occasionally and not quite every time.

I everccasionally black out when drinking.

everccasionally by Mands May 15, 2005

neverccasionally 

Once in a blue moon; something that happens rarely, not quite often enough for occasionally, but not quite never

I go rock climbing neverccasionally

neverccasionally by Mands May 15, 2005