Intermittent no crank?

Sporadically, my truck will not crank. There doesn't seem to be much of a pattern. If I disconnect the battery for a few minutes to a full day and then reconnect it, it will crank and start and run for a matter of seconds before shutting off and then won't crank again. If I replace the battery with a fully charged battery right off my trickle charger it will start and run no problem but then the next day is hit or miss whether it will crank or not. If it does crank on the second day, then the issue will stay away until the truck sits for too long (3 days) and the battery drains. Then I'm back to replacing the battery with a fully charged battery and hoping it works the second day.