J, 21 19 bytes
Found Bubbler's solution. :-)
2(*+/])4#.2#:@i.@^]
The first row is A000695, the first column is the same but times two. In the comments Marc LeBrun notes that this is rebasing n
from base 42 into base 24. So that's helpful with J:
2(*+/])4#.2#:@i.@^]
2 i.@^] 0 1 … 2^n
#: digits in base 2
0 0 0
0 0 1
…
1 1 0
1 1 1
4#. interpret as digits in base 4
0 1 4 5 16 17 20 21
2(*+/]) addition table of list*2 with list