A139211 Partial sums of A003325.
2, 11, 27, 55, 90, 144, 209, 281, 372, 498, 626, 759, 911, 1100, 1317, 1541, 1784, 2034, 2314, 2655, 2999, 3350, 3720, 4127, 4559, 5027, 5540, 6060, 6599, 7158, 7734, 8371, 9057, 9785, 10515, 11252, 12008, 12801, 13655, 14510, 15455, 16456, 17464, 18488
Offset: 1
Examples
a(15) = 2 + 9 + 16 + 28 + 35 + 54 + 65 + 72 + 91 + 126 + 128 + 133 + 152 + 189 + 217 = 1317.
Programs
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Mathematica
Accumulate[With[{upto=2000},Select[Total/@Tuples[Range[Ceiling[Surd[ upto,3]]]^3,2],#<=upto&]]//Union] (* Harvey P. Dale, Apr 27 2022 *)
Extensions
a(29)-a(44) from Nathaniel Johnston, Sep 26 2011