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Search: id:A050803
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| A050803 |
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Cubes expressible as the sum of two nonzero squares in at least one way. |
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15
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| 8, 125, 512, 1000, 2197, 4913, 5832, 8000, 15625, 17576, 24389, 32768, 39304, 50653, 64000, 68921, 91125, 125000, 140608, 148877, 195112, 226981, 274625, 314432, 373248, 389017, 405224, 512000, 551368, 614125, 704969, 729000, 912673, 941192
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Root values equal terms from sequence A000404 'Sum of 2 nonzero squares'.
In other words, a(n)=(A000404(n))^3. - Artur Jasinski (grafix(AT)csl.pl), Nov 29 2007
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REFERENCES
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"Game, Set and Math" by Ian Stewart, Chapter 8 'Close Encounters of the Fermat Kind', Penguin Books, Ed. 1991, pp. 107-124.
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LINKS
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Index entries for sequences related to sums of squares
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EXAMPLE
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E.g. 551368 or 82^3 = 82^2 + 738^2 = 242^2 + 702^2.
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CROSSREFS
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Cf. A000404, A050802, A050803, A135786, A135787, A135788.
Sequence in context: A024282 A065082 A053058 this_sequence A016791 A061103 A110272
Adjacent sequences: A050800 A050801 A050802 this_sequence A050804 A050805 A050806
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KEYWORD
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nonn
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AUTHOR
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Patrick De Geest (pdg(AT)worldofnumbers.com), Sep 15 1999.
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com), May 15 2008 at the suggestion of R. J. Mathar
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