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A005988
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x^3 + n*y^3 = 1 is solvable.
(Formerly M1732)
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0
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2, 7, 9, 17, 19, 20, 26, 28, 37, 43, 63, 65, 91, 124, 126, 182, 215, 217, 254, 342, 344, 422, 511, 513, 614, 635, 651, 728, 730, 813, 999, 1001, 1330, 1332, 1521, 1588, 1657, 1727
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
H. C. Williams and C. R. Zarnke, Computation of the solutions of the Diophantine equation x^3+dy^3=1, Proc. Conf. Numerical Maths., Winnipeg (1971), 671-676.
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MATHEMATICA
| m = 400; s = {}; Do[If[x*y < 0, r = Reduce[ n > 0 && x^3 + n*y^3 == 1, n, Integers]; If[r =!= False, AppendTo[s, n /. ToRules[r]]]], {x, -m, m}, {y, -m, m}]; Union[s] [[1 ;; 38]] (* From Jean-François Alcover, Jun 8 2011 *)
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CROSSREFS
| Sequence in context: A042345 A041973 A042807 * A199537 A079326 A055673
Adjacent sequences: A005985 A005986 A005987 * A005989 A005990 A005991
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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