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A049723 Array T read by diagonals; T(i,j)=number of lattice points (x,y) in closed right half-plane and circle with radius (0,0)-to-(i,j). 10

%I #9 Aug 07 2021 01:13:07

%S 1,4,4,9,6,9,18,13,13,18,29,22,15,22,29,46,33,26,26,33,46,63,50,39,35,

%T 39,50,63,82,67,54,46,46,54,67,82,107,88,71,60,56,60,71,88,107,136,

%U 115,96,79,75,75,79,96,115,136,169,140,119,100

%N Array T read by diagonals; T(i,j)=number of lattice points (x,y) in closed right half-plane and circle with radius (0,0)-to-(i,j).

%C Specifically, -i<=x<=i, 0<=y<=j, x^2 + y^2 <= i^2 + j^2.

%e Diagonals (each starting on row 1): {1}; {4,4}; {9,6,9}; ...

%Y T(n, 0)=A036695(n).

%K nonn,tabl

%O 0,2

%A _Clark Kimberling_

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Last modified February 21 22:50 EST 2024. Contains 370239 sequences. (Running on oeis4.)