%I A002377 M0471 N0172
%S A002377 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,1,2,3,4,5,6,7,8,9,10,11,12,13,14,
%T A002377 15,16,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,3,4,5,6,7,8,9,10,11,12,
%U A002377 13,14,15,16,17,18,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,5,1,2,3
%N A002377 Least number of 4th powers needed to represent n.
%C A002377 The g.f. 1/(z-1)**2 conjectured by S. Plouffe in his 1992 dissertation 
               is wrong.
%D A002377 C. A. Bretschneider, Zerlegung der Zahlen bis 4100 in Biquadrate, J. 
               Riene Angew. Math., 46 (1853), 1-28.
%D A002377 D. H. Lehmer, Guide to Tables in the Theory of Numbers. Bulletin No. 
               105, National Research Council, Washington, DC, 1941, p. 82.
%D A002377 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002377 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A002377 T. D. Noe, <a href="b002377.txt">Table of n, a(n) for n=1..14000</a>
%H A002377 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 A002377 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 A002377 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               BiquadraticNumber.html">Link to a section of The World of Mathematics.</
               a>
%Y A002377 Cf. A099591.
%Y A002377 Sequence in context: A139179 A130909 A160700 this_sequence A053836 A025483 
               A053165
%Y A002377 Adjacent sequences: A002374 A002375 A002376 this_sequence A002378 A002379 
               A002380
%K A002377 nonn,nice
%O A002377 1,2
%A A002377 N. J. A. Sloane (njas(AT)research.att.com).
%E A002377 More terms from Arlin Anderson (starship1(AT)gmail.com)