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A051386 Numbers whose 4th power is the sum of two positive cubes. +0
3
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; listen)
OFFSET

1,1

COMMENT

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 x is the sum of 2 positive cubes (A003325) there is a trivial solution.

EXAMPLE

134^4 = 469^3 + 603^3.

CROSSREFS

Cf. A003325, A051387.

Adjacent sequences: A051383 A051384 A051385 this_sequence A051387 A051388 A051389

Sequence in context: A131189 A011193 A085960 this_sequence A003325 A101420 A097965

KEYWORD

nonn

AUTHOR

Jud McCranie (j.mccranie(AT)comcast.net)

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Last modified October 11 09:12 EDT 2008. Contains 144832 sequences.


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