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Search: id:A085559
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| A085559 |
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Smallest number expressible as the sum of three 4-th powers in at least n ways. |
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+0
3
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| 1, 2673, 811538, 5978882, 137149922, 292965218, 779888018, 5745705602, 49511121842, 49511121842, 281539574498, 281539574498, 7865870969138, 7865870969138, 7865870969138, 7865870969138, 47580188090162
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The 4th powers used to sum to the numbers in this series include some zero terms. Hardy and Wright prove that the series is infinite.
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REFERENCES
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G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th Ed (1979) p. 330.
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EXAMPLE
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E.g. 811538 = 29^4 + 17^4 + 12^4 = 28^4 + 21^4 + 7^4 = 27^4 + 23^4 + 4^4.
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CROSSREFS
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Cf. A011541, A123075.
Sequence in context: A019424 A151813 A010088 this_sequence A123075 A112138 A166513
Adjacent sequences: A085556 A085557 A085558 this_sequence A085560 A085561 A085562
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KEYWORD
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nonn
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AUTHOR
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Stuart Gascoigne (stuart.g(AT)scoigne.com), Jul 04 2003
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