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 A195006 Numbers n of the form 2*x^3 + y^3 + z^3. 0
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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. REFERENCES 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. LINKS Allan J. MacLeod, New Solutions of d=2x^3+y^3+z^3, arXiv:1109.2396v1 [math.NT], Sep 12, 2011. EXAMPLE 1247 is in the sequence because 1247 = 2*26478194^3 + 108525095^3 + (-109565866)^3. CROSSREFS Sequence in context: A023065 A190413 A066696 * A114528 A069146 A184500 Adjacent sequences:  A195003 A195004 A195005 * A195007 A195008 A195009 KEYWORD nonn AUTHOR Jonathan Vos Post, Sep 12 2011 STATUS approved

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