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Search: id:A165454
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| A165454 |
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Numbers the squares of which are sums of three distinct nonzero cubes. |
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+0
2
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| 6, 15, 27, 48, 53, 59, 71, 78, 84, 87, 90, 96, 98, 116, 120, 121, 125, 134, 153, 162, 163, 167, 180, 188, 204, 213, 216, 224, 225, 226, 230, 240, 242, 244, 251, 253, 255, 262, 264, 280, 287, 288, 303, 314, 324, 330, 342, 350, 356, 363, 368, 372, 381, 384, 393
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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{k >0: k^2 in A024975}. [R. J. Mathar, Oct 06 2009]
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EXAMPLE
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6 is in the sequence because 6^2 = 1^3+2^3+3^3. 15 is in the sequence because 15^2 = 1^3+2^3+6^3.
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MATHEMATICA
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lst={}; Do[Do[Do[d=Sqrt[a^3+b^3+c^3]; If[d<=834&&IntegerQ[d], AppendTo[lst, d]], {c, b+1, 5!, 1}], {b, a+1, 5!, 1}], {a, 5!}]; Take[Union@lst, 123]
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CROSSREFS
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Cf. A161992, A024973, A025399
Sequence in context: A112150 A072257 A140091 this_sequence A063525 A161777 A117519
Adjacent sequences: A165451 A165452 A165453 this_sequence A165455 A165456 A165457
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KEYWORD
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nonn
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 20 2009
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EXTENSIONS
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Comments moved to the examples by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 07 2009
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