I need to find the next two numbers in the following sequence.

0,13,13,21,34,55,86,139,216,342,550,898,?,?.

I know that the tens place is following a fibonacci sequence, but I can't figure out the pattern in the ones place. 0,13,13,21,34,55,86,139,216,342,550,898 = 0, 1, 1, 2, 5, 8, 13, 21, 34, 55, 89, 144, 233.

So I know what part of the answer would be for the missing two numbers, but I can't figure out the pattern in the ones place.

So the answer should be something like: 144(?) and 233(?). I'm not sure how to find that last number?

PLEASE HELP ASAP!