Search: id:A051132
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%I A051132
%S A051132 0,1,9,25,45,69,109,145,193,249,305,373,437,517,609,697,793,889,1005,
%T A051132 1125,1245,1369,1513,1649,1789,1941,2109,2285,2449,2617,2809,2997,3205,
%U A051132 3405,3613,3841,4049,4281,4509,4765,5013,5249,5521,5785,6073,6349,6621
%N A051132 Number of ordered pairs of integers (x,y) with x^2+y^2 < n^2.
%H A051132 T. D. Noe, <a href="b051132.txt">Table of n, a(n) for n=0..1000</a>
%e A051132 a(3)=25 from the points of shapes 00 (1), 10 (4), 11 (4), 20 (4), 21 
               (8), 22 (4).
%t A051132 Needs["NumberTheory`NumberTheoryFunctions`"]; Table[Sum[SumOfSquaresR[2, 
               k], {k, 0, n^2 - 1}], {n, 0, 46}]
%Y A051132 Changing "<" to "<=" in the definition gives A000328.
%Y A051132 Sequence in context: A044451 A114057 A031036 this_sequence A075026 A113659 
               A113745
%Y A051132 Adjacent sequences: A051129 A051130 A051131 this_sequence A051133 A051134 
               A051135
%K A051132 nonn,nice,easy
%O A051132 0,3
%A A051132 Jostein Trondal (jostein.trondal(AT)protech.no)
%E A051132 More terms from James A. Sellers (sellersj(AT)math.psu.edu)

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