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A046040 Numbers that are the sum of 6 but no fewer positive cubes. 4
6, 13, 20, 34, 39, 41, 46, 48, 53, 58, 60, 69, 76, 79, 84, 86, 95, 98, 102, 104, 105, 110, 117, 121, 123, 124, 132, 139, 147, 151, 158, 165, 170, 173, 177, 184, 196, 202, 203, 210, 215, 221, 222, 228, 235, 236, 242, 247, 249, 263, 265, 268, 273, 275, 284, 287 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

According to the McCurley article, it is conjectured that there are exactly 3922 terms of which the largest is a(3922) = 1290740.

LINKS

T. D. Noe, Table of n, a(n) for n=1..3922

Jan Bohman and Carl-Erik Froberg, Numerical investigation of Waring's problem for cubes, Nordisk Tidskr. Informationsbehandling (BIT) 21 (1981), 118-122.

K. S. McCurley, An effective seven-cube theorem, J. Number Theory, 19 (1984), 176-183.

Eric Weisstein's World of Mathematics, Cubic Number.

Eric Weisstein's World of Mathematics, Waring's Problem.

Index entries for sequences related to sums of cubes

MATHEMATICA

Select[Range[300], (pr = PowersRepresentations[#, 6, 3]; pr != {} && Count[pr, r_/; (Times @@ r) == 0] == 0)&] (* Jean-Fran├žois Alcover, Jul 26 2011 *)

CROSSREFS

Cf. A000578, A003325, A003072, A003327, A003328, A018890, A018889.

Sequence in context: A004919 A172330 A017053 * A227359 A056115 A173358

Adjacent sequences:  A046037 A046038 A046039 * A046041 A046042 A046043

KEYWORD

nonn,fini

AUTHOR

Eric W. Weisstein

EXTENSIONS

Corrected by Arlin Anderson (starship1(AT)gmail.com).

STATUS

approved

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Last modified October 17 11:59 EDT 2019. Contains 328110 sequences. (Running on oeis4.)