%I A002376 M0466 N0170
%S A002376 1,2,3,4,5,6,7,1,2,3,4,5,6,7,8,2,3,4,5,6,7,8,9,3,4,5,1,2,3,4,5,4,5,6,2,
%T A002376 3,4,5,6,5,6,7,3,4,5,6,7,6,7,8,4,5,6,2,3,4,5,6,5,6,7,3,4,1,2,3,4,5,6,4,
%U A002376 5,2,3,4,5,6,7,5,6,3,3,4,5,6,7,6,7,4,4,5,2,3,4,5,6,5,5,6,3,4,5,6,7,6,6
%N A002376 Least number of positive cubes needed to represent n.
%D A002376 D. H. Lehmer, Guide to Tables in the Theory of Numbers. Bulletin No. 
               105, National Research Council, Washington, DC, 1941, p. 81.
%D A002376 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002376 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A002376 A. R. Zornow, De compositione numerorum e cubis integris positivus, J. 
               Reine Angew. Math., 14 (1835), 276-280.
%H A002376 T. D. Noe, <a href="b002376.txt">Table of n, a(n) for n=1..1000</a>
%H A002376 S. Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articles/MasterThesis.pdf">
               Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures</
               a>, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 
               1992.
%H A002376 S. Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articles/FonctionsGeneratrices.pdf">
               1031 Generating Functions and Conjectures</a>, Universit\'{e} du 
               Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
%H A002376 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               CubicNumber.html">Link to a section of The World of Mathematics.</
               a>
%p A002376 A002376:=-(-1-z-z**2-z**3-z**4-z**5-z**6+6*z**7)/(z+1)/(z**2+1)/(z**4+1)/
               (z-1)**2; [Conjectured by S. Plouffe in his 1992 dissertation.]
%Y A002376 Cf. A018888 (numbers requiring 8 or 9 cubes).
%Y A002376 Sequence in context: A054634 A053843 A010886 this_sequence A055401 A053829 
               A033928
%Y A002376 Adjacent sequences: A002373 A002374 A002375 this_sequence A002377 A002378 
               A002379
%K A002376 nonn,nice
%O A002376 1,2
%A A002376 N. J. A. Sloane (njas(AT)research.att.com).
%E A002376 More terms from Arlin Anderson (starship1(AT)gmail.com)