For the sequence below what are the next 3 elements and why?

1,6,1,16, __ , __ , __
Please help ASAP!!! :(

hard to say. One guess would be

1,6,1,16,1,26,1,36,...
Or, slightly less obvious
1,6,1,16,1,116,1,1116,...
There are any number of patterns that could be extrapolated from those few terms.