Search: id:A000092
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%I A000092 M1326 N0508
%S A000092 1,2,5,6,14,21,29,30,54,90,134,155,174,230,234,251,270,342,374,461,
%T A000092 494,550,666,750,810,990,1890,2070,2486,2757,2966,3150,3566,3630,4554,
%U A000092 4829,5670,5750,8154,8382,8774,8910,10350,10710,15734,15750,16302,17550
%N A000092 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); sequence gives values of n where |P(n)| sets 
               a new record.
%D A000092 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A000092 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000092 W. C. Mitchell, The number of lattice points in a k-dimensional hypersphere, 
               Math. Comp., 20 (1966), 300-310.
%Y A000092 Cf. A000323, A000036, A000099, A000413, A000223.
%Y A000092 Sequence in context: A083095 A083097 A006596 this_sequence A100630 A057302 
               A109784
%Y A000092 Adjacent sequences: A000089 A000090 A000091 this_sequence A000093 A000094 
               A000095
%K A000092 nonn
%O A000092 1,2
%A A000092 N. J. A. Sloane (njas(AT)research.att.com).
%E A000092 Revised Jun 28 2005

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