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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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1
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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; refs; listen; history; internal format)
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OFFSET
| 1,1
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FORMULA
| {k >0: k^2 in A024975}. [R. J. Mathar, Oct 06 2009]
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EXAMPLE
| 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
| 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
| Cf. A161992, A024973, A025399
Sequence in context: A072257 A140091 A171972 * A063525 A161777 A117519
Adjacent sequences: A165451 A165452 A165453 * A165455 A165456 A165457
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KEYWORD
| nonn
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AUTHOR
| Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 20 2009
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EXTENSIONS
| Comments moved to the examples by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 07 2009
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