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A228172 Number of integer pairs (x,y) such that 0<=y<=x, x>0, and x^2+y^2<=n^2. 1

%I #33 Feb 28 2017 22:59:30

%S 1,3,6,9,14,19,24,31,39,48,56,65,77,88,101,113,127,141,157,174,189,

%T 208,226,244,266,287,309,330,353,378,401,428,454,482,511,537,568,596,

%U 630,662,692,726,760,797,833,867,905,942,982,1023,1065,1106,1146,1189,1231,1278,1322,1369,1414,1462,1512

%N Number of integer pairs (x,y) such that 0<=y<=x, x>0, and x^2+y^2<=n^2.

%C This corresponds to points of positive norm less than or equal to n on the square lattice, in the first quadrant, on or below the first diagonal.

%F a(n) = A211340 (n) + n . [_Joerg Arndt_, Aug 19 2013]

%Y Cf. A211340 (version excluding the cases with y=0).

%K nonn

%O 1,2

%A _Olivier GĂ©rard_, Aug 17 2013

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Last modified April 25 12:33 EDT 2024. Contains 371969 sequences. (Running on oeis4.)