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Search: id:A069137
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| A069137 |
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Numbers which are sums of neither 1, 2, 3, 4, 5 or 6 nonnegative cubes. |
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+0
3
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| 7, 14, 15, 21, 22, 23, 42, 47, 49, 50, 61, 77, 85, 87, 103, 106, 111, 112, 113, 114, 122, 140, 148, 159, 166, 167, 174, 175, 178, 185, 186, 204, 211, 212, 223, 229, 230, 231, 237, 238, 239, 276, 292, 295, 300, 302, 303, 311, 327, 329, 337, 340, 356, 363, 364
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Sequence is conjectured to be finite.
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REFERENCES
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Bohman, Jan and Froberg, Carl-Erik; Numerical investigation of Waring's problem for cubes, Nordisk Tidskr. Informationsbehandling (BIT) 21 (1981), 118-122.
F. Romani, Computations concerning Waring's problem, Calcolo, 19 (1982), 415-431.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..138
Jean-Marc Deshouillers, Francois Hennecart and Bernard Landreau; appendix by I. Gusti Putu Purnaba, 7373170279850, Math. Comp. 69 (2000), 421-439.
Index entries for sequences related to sums of cubes
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FORMULA
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Natural numbers remaining if union of A003325, A003072, A003327, A003328, A003329 and A000578 sets were deleted. Remark: this sequence itself does not include cubes, in contrast to A085334.
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EXAMPLE
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Numbers which need at least seven terms to represent them as a sum of positive cubes: 14=8+1+1+1+1+1+1.
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CROSSREFS
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Cf. A057907, A003329, A003325, A003072, A003327, A003328, A000578, A085334.
Sequence in context: A107976 A022557 A085335 this_sequence A004781 A004759 A062056
Adjacent sequences: A069134 A069135 A069136 this_sequence A069138 A069139 A069140
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Apr 08 2002; edited Sep 15 2006
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