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A047702 Numbers that are the sum of 3 but no fewer positive cubes. 4
3, 10, 17, 24, 29, 36, 43, 55, 62, 66, 73, 80, 81, 92, 99, 118, 127, 129, 134, 136, 141, 153, 155, 160, 179, 190, 192, 197, 218, 225, 232, 244, 251, 253, 258, 270, 277, 281, 288, 307, 314, 342, 345, 349, 352, 359, 368, 371, 375, 378, 397, 405, 408, 415, 433 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

C. G. J. Jacobi, Gesammelte Werke, vol. 6, 1969, Chelsea, NY, p. 352.

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

C. G. J. Jacobi, Gesammelte Werke.

Index entries for sequences related to sums of cubes

FORMULA

The numbers in {A003072 MINUS A000578} MINUS A003325. - R. J. Mathar, Apr 13 2008

EXAMPLE

344 is in A003072, but also in A003325; therefore it is not in here.

MAPLE

N:= 1000: # to get all terms <= N

G3:= series(add(x^(i^3), i=1..floor(N^(1/3)))^3, x, N+1):

G2:= series(add(x^(i^3), i=0..floor(N^(1/3)))^2, x, N+1):

select(t -> coeff(G3, x, t) > 0 and coeff(G2, x, t) = 0, [$1..N]); # Robert Israel, Dec 12 2016

MATHEMATICA

Select[Range[500], (pr = PowersRepresentations[#, 3, 3]; pr != {} && Count[pr, r_ /; (Times @@ r) == 0] == 0) &][[1 ;; 55]]  (* Jean-Fran├žois Alcover, Apr 08 2011 *)

CROSSREFS

Cf. A000419, A002376, A003072.

Sequence in context: A024981 A003072 A025395 * A219726 A017017 A297665

Adjacent sequences:  A047699 A047700 A047701 * A047703 A047704 A047705

KEYWORD

nonn,nice,easy

AUTHOR

Arlin Anderson (starship1(AT)gmail.com)

STATUS

approved

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Last modified October 18 12:18 EDT 2019. Contains 328160 sequences. (Running on oeis4.)