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A080642 Cube-free taxicab numbers: the smallest cube-free number that is the sum of 2 cubes in n ways. +0
1
2, 1729, 15170835645, 1801049058342701083 (list; graph; listen)
OFFSET

1,1

COMMENT

A necessary condition for the sum to be cube-free is that each pair of cubes be relatively prime.

EXAMPLE

2 = 1^3 + 1^3 1729 = 12^3 + 1^3 = 10^3 + 9^3 15170835645 = 2468^3 + 517^3 = 2456^3 + 709^3 = 2152^3 + 1733^3 1801049058342701083 = 1216500^3 + 92227^3 = 1216102^3 + 136635^3 = 1207602^3 + 341995^3 = 1165884^3 + 600259^3

CROSSREFS

Cf. A011541.

Sequence in context: A160224 A129061 A011541 this_sequence A108331 A162554 A113917

Adjacent sequences: A080639 A080640 A080641 this_sequence A080643 A080644 A080645

KEYWORD

hard,more,nonn

AUTHOR

Stuart Gascoigne (Stuart.G(AT)scoigne.com), Feb 28 2003

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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