A018086 Powers of fourth root of 14 rounded up.
1, 2, 4, 8, 14, 28, 53, 102, 196, 380, 734, 1419, 2744, 5308, 10268, 19861, 38416, 74310, 143740, 278041, 537824, 1040333, 2012354, 3892568, 7529536, 14564656, 28172944, 54495952, 105413504, 203905180
Offset: 0
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Mathematica
Ceiling[Surd[14,4]^Range[0,30]] (* Harvey P. Dale, Sep 16 2016 *)