I was with you right up to where you got to 32. Even the 62 is not too far away because it is really 64 but you have left the first generation out, I'm guessing. What you did after that I don't understand. Why not just continue where you were from 32 onwards? if you do you get this:

1 2 2 4 3 8 4 16 5 32 6 64 7 128 8 256 9 512 10 1,024 11 2,048 12 4,096 13 8,192 14 16,384 15 32,768 16 65,536 17 131,072 18 262,144 19 524,288 20 1,048,576 21 2,097,152 22 4,194,304 23 8,388,608 24 16,777,216 25 33,554,432 26 67,108,864 27 134,217,728 28 268,435,456 29 536,870,912 30 1,073,741,824 31 2,147,483,648 32 4,294,967,296 33 8,589,934,592 34 17,179,869,184 35 34,359,738,368 36 68,719,476,736 37 137,438,953,472 38 274,877,906,944 39 549,755,813,888 40 1,099,511,627,776 41 2,199,023,255,552 42 4,398,046,511,104 43 8,796,093,022,208