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A003998
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Numbers that are a sum of distinct positive cubes in more than one way.
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2
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216, 217, 224, 225, 540, 559, 560, 567, 568, 728, 729, 736, 737, 756, 757, 764, 793, 801, 820, 828, 854, 855, 862, 863, 881, 882, 889, 890, 918, 919, 926, 927, 945, 946, 953, 954, 980, 981, 1008, 1009, 1036, 1044, 1045, 1071, 1072, 1073, 1079, 1080
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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LINKS
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MAPLE
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F:= proc(x, y) option remember;
if y = 0 then 1
elif y < x^3 then 0
elif y = x^3 then 1
else procname(x+1, y) + procname(x+1, y-x^3)
fi
end proc:
select(t -> F(1, t) > 1, [$1..10000]); # Robert Israel, Dec 31 2015
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MATHEMATICA
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ok[n_] := Length[ Select[ Union[ Union /@ Flatten[ Table[ DeleteCases[ PowersRepresentations[n, k, 3], 0, 2], {k, 1, Floor[(n-1)^(1/3)]}], 1]], Total[#^3] == n & , 2]] == 2; Reap[ Do[ If[ ok[n], Print[n]; Sow[n]], {n, 1, 1100}]][[2, 1]](* Jean-François Alcover, Feb 23 2012 *)
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CROSSREFS
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KEYWORD
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nonn,easy,nice
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AUTHOR
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org), Mar 20 2000
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STATUS
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approved
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