Search: id:A000223
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%I A000223 M2619 N1036
%S A000223 3,7,10,19,32,34,37,51,81,119,122,134,157,160,161,174,221,252,254,
%T A000223 294,305,309,364,371,405,580,682,734,756,763,776,959,1028,1105,1120,1170,
%U A000223 1205,1550,1570,1576,1851,1930,2028,2404,2411,2565,2675,2895,2905,2940,
               3133
%N A000223 Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), 
               P(n) = A(n) - V(n); A000092 gives values of n where |P(n)| sets a 
               new record; sequence gives (nearest integer to, I believe) P(A00092(n)).
%D A000223 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A000223 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000223 W. C. Mitchell, The number of lattice points in a k-dimensional hypersphere, 
               Math. Comp., 20 (1966), 300-310.
%Y A000223 Cf. A000323, A000036, A000092, A000413, A000099.
%Y A000223 Sequence in context: A024330 A069153 A167390 this_sequence A031328 A053159 
               A024464
%Y A000223 Adjacent sequences: A000220 A000221 A000222 this_sequence A000224 A000225 
               A000226
%K A000223 nonn
%O A000223 1,1
%A A000223 N. J. A. Sloane (njas(AT)research.att.com).
%E A000223 Revised Jun 28 2005

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