The Mysterious Sequence: 1,2,4,8,16,23,28

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1, 2, 4, 8, 16, 23, 28, ?
 
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OK. Here are some more terms :
1, 2, 4, 8, 16, 23, 28, 38, 49, 62, ?, ?...
 
70,77,...
 
Well done, Rogerio!
 
,91,101,..
 

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