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A051386
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Numbers whose 4th power is the sum of two positive cubes.
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2
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2, 9, 16, 28, 35, 54, 65, 72, 91, 126, 128, 133, 134, 152, 182, 183, 189, 201, 217, 219, 224, 243, 250, 273, 278, 280, 309, 341, 344, 351, 370, 399, 407, 422, 432, 453, 468, 497, 513, 520, 539, 559, 576, 579, 637, 651, 658, 686, 728, 730, 737, 756, 793, 854
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| n such that n^4 = r^3 + s^3 has a solution with r>0, s>0.
By multiplying n^4 = r^3 + s^3 by n^3, also numbers whose 7th power is expressible as the sum of positive cubes.
When n is the sum of 2 positive cubes (A003325) there is a trivial solution: e.g., 133 is a term in A003325, 133=2^3+5^3 and 133^4=(2*133)^3+(5*133)^3. - Moshe Levin, Oct 17 2011
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EXAMPLE
| 134^4 = 469^3 + 603^3.
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CROSSREFS
| Cf. A003325, A051387.
Sequence in context: A131189 A011193 A085960 * A003325 A101420 A178440
Adjacent sequences: A051383 A051384 A051385 * A051387 A051388 A051389
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KEYWORD
| nonn
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AUTHOR
| Jud McCranie (JudMcCranie(AT)ugaalum.uga.edu)
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