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A050803 Cubes expressible as the sum of two nonzero squares in at least one way. 15
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; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

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

REFERENCES

"Game, Set and Math" by Ian Stewart, Chapter 8 'Close Encounters of the Fermat Kind', Penguin Books, Ed. 1991, pp. 107-124.

LINKS

Index entries for sequences related to sums of squares

EXAMPLE

E.g. 551368 or 82^3 = 82^2 + 738^2 = 242^2 + 702^2.

CROSSREFS

Cf. A000404, A050802, A050803, A135786, A135787, A135788.

Sequence in context: A024282 A065082 A053058 * A016791 A061103 A110272

Adjacent sequences:  A050800 A050801 A050802 * A050804 A050805 A050806

KEYWORD

nonn

AUTHOR

Patrick De Geest (pdg(AT)worldofnumbers.com), Sep 15 1999.

EXTENSIONS

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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Last modified February 17 10:05 EST 2012. Contains 206009 sequences.