Search: id:A000036
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%I A000036 M0610 N0221
%S A000036 2,3,5,6,6,6,7,8,10,13,13,13,14,17,17,17,18,19,20,22,23,27,29,29,29,31,
%T A000036 32,35,36,37,40,43,46,48,50,53,55,57,60,60,61,63,66,66,68,71,74,77,79,
               82,
%U A000036 85,88,89,92,95,96,97,97,100,103,105,108,111,114,115,118,120,123,126,129
%V A000036 2,3,5,6,6,-6,7,8,10,13,13,13,14,-17,17,17,18,-19,20,-22,23,27,-29,-29,
%W A000036 29,-31,-32,-35,36,-37,-40,-43,-46,-48,-50,-53,-55,-57,-60,-60,-61,-63,
%X A000036 -66,-66,-68,-71,-74,-77,-79,-82,-85,-88,-89,-92,-95,-96,-97,-97,-100
%N A000036 Let A(n) = #{(i,j): i^2 + j^2 <= n}, V(n) = Pi*n, P(n) = A(n) - V(n); 
               A000099 gives values of n where |P(n)| sets a new record; sequence 
               gives closest integer to P(A000099(n)).
%D A000036 W. C. Mitchell, The number of lattice points in a k-dimensional hypersphere, 
               Math. Comp., 20 (1966), 300-310.
%D A000036 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000036 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A000036 David W. Wilson, <a href="b000036.txt">Table of n, a(n) for n = 1..200</
               a>
%F A000036 a(n) = round(P(A000099(n))), where P(n) = A057655(n)-pi*n. - David W. 
               Wilson, May 15 2008
%Y A000036 Cf. A000092, A000099, A000223, A000323, A000413.
%Y A000036 Sequence in context: A082654 A072636 A001600 this_sequence A165081 A165089 
               A165083
%Y A000036 Adjacent sequences: A000033 A000034 A000035 this_sequence A000037 A000038 
               A000039
%K A000036 sign
%O A000036 1,1
%A A000036 N. J. A. Sloane (njas(AT)research.att.com).
%E A000036 Revised Jun 26 2005
%E A000036 More terms from David W. Wilson, May 15 2008

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