Search: id:A000378
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%I A000378
%S A000378 0,1,2,3,4,5,6,8,9,10,11,12,13,14,16,17,18,19,20,21,22,24,25,26,27,29,
%T A000378 30,32,33,34,35,36,37,38,40,41,42,43,44,45,46,48,49,50,51,52,53,54,56,
%U A000378 57,58,59,61,62,64,65,66,67,68,69,70,72,73,74,75,76,77,78,80,81,82,83
%N A000378 Numbers of the form x^2 + y^2 + z^2.
%D A000378 J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", 
               Springer-Verlag, p. 107.
%D A000378 G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers. 
               3rd ed., Oxford Univ. Press, 1954, p. 311.
%H A000378 T. D. Noe, <a href="b000378.txt">Table of n, a(n) for n=1..10000</a>
%H A000378 J. W. Cogdell, <a href="http://www.emis.de/journals/JTNB/2003-1/jtnb15-1_english.html#jourelec">
               On sums of three squares</a>
%H A000378 <a href="Sindx_Su.html#ssq">Index entries for sequences related to sums 
               of squares</a>
%H A000378 P. Pollack, <a href="http://www.math.dartmouth.edu/~ppollack/notes.pdf">
               Analytic and Combinatorial Number Theory</a> Course Notes, p. 91.
%F A000378 Legendre: a nonnegative integer is a sum of three squares iff it is not 
               of the form 4^k m with m == 7 (mod 8).
%F A000378 n^(2k+1) is in the sequence iff n is in the sequence. [From Ray Chandler 
               (rayjchandler(AT)sbcglobal.net), Feb 03 2009]
%Y A000378 Cf. A004215, A047449, A034043-A034047, A065883, A072400, A072401, A071374.
%Y A000378 Cf. A002828, A001481, A125084.
%Y A000378 Sequence in context: A004777 A059561 A037474 this_sequence A022551 A020659 
               A047304
%Y A000378 Adjacent sequences: A000375 A000376 A000377 this_sequence A000379 A000380 
               A000381
%K A000378 nonn
%O A000378 1,3
%A A000378 N. J. A. Sloane (njas(AT)research.att.com).
%E A000378 More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Sep 05 
               2004

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