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A004826
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Numbers that are the sum of at most 4 positive cubes.
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1
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0, 1, 2, 3, 4, 8, 9, 10, 11, 16, 17, 18, 24, 25, 27, 28, 29, 30, 32, 35, 36, 37, 43, 44, 51, 54, 55, 56, 62, 63, 64, 65, 66, 67, 70, 72, 73, 74, 80, 81, 82, 88, 89, 91, 92, 93, 99, 100, 107, 108, 118, 119, 125, 126, 127, 128, 129, 130, 133, 134, 135
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Stated in Lee, p.1: It is now known that when N is sufficiently large, the number of positive integers at most N that fail to be written in such a way (A022566) is slightly smaller than N^(37/42). Since any integer congruent to 4 (mod 9) is never a sum of three cubes, the number of summands here cannot in general be reduced. But of those four cubes, two of which (minicubes) need be at most N^theta, as long as theta => (192/869). An asymptotic formula for the number of such representations is established when 1/4 < theta <1/3. [From Jonathan Vos Post (jvospost3(AT)gmail.com), Jun 29 2010]
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..1000
G. Villemin's Almanach of Numbers, Sum of Four Cubes (0 through 100)
Index entries for sequences related to sums of cubes
Siu-lun Alan Lee, On Waring's Problem: Two Cubes and Two Minicubes, June 26, 2010. [From Jonathan Vos Post (jvospost3(AT)gmail.com), Jun 29 2010]
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CROSSREFS
| Cf. A022566 Numbers that are not the sum of 4 nonnegative cubes. [From Jonathan Vos Post (jvospost3(AT)gmail.com), Jun 29 2010]
Sequence in context: A005455 A047338 A069811 * A132115 A184810 A047228
Adjacent sequences: A004823 A004824 A004825 * A004827 A004828 A004829
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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