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Search: id:A096739
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| A096739 |
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Numbers n such that n^4 can be written as a sum of four distinct 4th powers. |
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+0
6
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| 353, 651, 706, 1059, 1302, 1412, 1765, 1953, 2118, 2471, 2487, 2501, 2604, 2824, 2829, 3177, 3255, 3530, 3723, 3883, 3906, 3973, 4236, 4267, 4333, 4449, 4557, 4589, 4942, 4949, 4974, 5002, 5208, 5281, 5295, 5463, 5491, 5543, 5648, 5658, 5729, 5859
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Every multiple of a member is a member. - David Wasserman (dwasserm(AT)earthlink.net), Nov 16 2007
Is this sequence the same as A003294? - David Wasserman (dwasserm(AT)earthlink.net), Nov 16 2007
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REFERENCES
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K. Rose and S. Brudno, More about four biquadrates equal one biquadrate, Math. Comp., 27 (1973), 491-494.
D. Wells, Curious and interesting numbers, Penguin Books, p. 139.
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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EXAMPLE
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353^4=30^4+120^4+272^4+315^4.
3723 is in the sequence since we have 3723^4 = 2270^4 + 2345^4 + 2460^4 + 3152^4.
706^4 = 60^4 + 240^4 + 544^4 + 630^4
1059^4 = 90^4 + 360^4 + 816^4 + 945^4
1302^4 = 480^4 + 680^4 + 860^4 + 1198^4
1412^4 = 120^4 + 480^4 + 1088^4 + 1260^4
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CROSSREFS
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Cf. A003294
Sequence in context: A058375 A059635 A003294 this_sequence A039664 A054825 A142565
Adjacent sequences: A096736 A096737 A096738 this_sequence A096740 A096741 A096742
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KEYWORD
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nonn
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AUTHOR
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Lekraj Beedassy (blekraj(AT)yahoo.com), May 30 2002
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EXTENSIONS
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Corrected by Bo Asklund (boa(AT)mensa.se), Nov 05 2004
Corrected and extended by David Wasserman (dwasserm(AT)earthlink.net), Nov 16 2007
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