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Search: id:A085409
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| A085409 |
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Sum of three solutions of the Diophantine equation x^2 - y^2 = z^3. |
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+0
5
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| 0, 12, 84, 270, 624, 1200, 2052, 3234, 4800, 6804, 9300, 12342, 15984, 20280, 25284, 31050, 37632, 45084, 53460, 62814, 73200, 84672, 97284, 111090, 126144, 142500, 160212, 179334, 199920, 222024, 245700, 271002, 297984, 326700, 357204, 389550
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OFFSET
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0,2
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COMMENT
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Parametric representation of the solution is (x, y, z) = (6n^3, 3n^3, 3n^2), thus getting a(n) = 9n^3 + 3n^2.
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FORMULA
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a(n) = 9n^3 + 3n^2
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MATHEMATICA
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Table[9n^3 + 3n^2, {n, 1, 34}]
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CROSSREFS
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Cf. A085377
Sequence in context: A026949 A165127 A075476 this_sequence A111464 A004407 A054849
Adjacent sequences: A085406 A085407 A085408 this_sequence A085410 A085411 A085412
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KEYWORD
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nonn
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AUTHOR
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Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Aug 13 2003
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 16 2003
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