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A195006
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Numbers n of the form 2*x^3 + y^3 + z^3.
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0
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1247, 1462, 1588, 2246, 2822, 3307, 3335, 3641, 4990, 5188, 5279, 5620, 5629, 6707, 6980, 7097, 7177, 7323, 7519, 7853, 8114, 8380, 8572, 8644, 8887, 9274, 9589, 9850
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OFFSET
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1,1
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COMMENTS
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From Table 1, p.7 of MacLeod. The author did not consider primality, but of the numbers in his table, the primes are: 3307, 5279, 7177, 7853, 8887.
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REFERENCES
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N. Elkies, Rational points near curves and small nonzero |x^3 - y^2| via lattice reduction, in Algorithmic Number Theory (Leiden 2000), Lecture Notes in Computer Science 1838, Springer 2000.
A-S. Elsenhans and J. Jahnel, New sums of three cubes, Math. Comp. 78 (2009) 1227-1230.
K. Koyama, On searching for solutions of the Diophantine equation x^3 + y^3 + 2z^3 = n, Math. Comp. 69 (2000) 1735-1742.
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LINKS
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Table of n, a(n) for n=1..28.
Allan J. MacLeod, New Solutions of d=2x^3+y^3+z^3, arXiv:1109.2396v1 [math.NT], Sep 12, 2011.
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EXAMPLE
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1247 is in the sequence because 1247 = 2*26478194^3 + 108525095^3 + (-109565866)^3.
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CROSSREFS
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Sequence in context: A023065 A190413 A066696 * A114528 A069146 A184500
Adjacent sequences: A195003 A195004 A195005 * A195007 A195008 A195009
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KEYWORD
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nonn
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AUTHOR
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Jonathan Vos Post, Sep 12 2011
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STATUS
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approved
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