|
%I #7 Dec 12 2014 05:27:15
%S 1,4,2,2,4,1,4,7,4,4,2,4,4,2,4,2,4,2,2,4,6,4,4,2,4,6,4,4,2,2,2,4,2,4,
%T 4,4,2,4,2,4,1,2,4,4,2,12,2,4,1,4,4,4,4,2,4,2,4,6,4,4,2,2,2,4,2,2,4,4,
%U 4,4,4,4,4,2,2,2,6,4,2,4,4
%N Number of lattice points of the Archimedean tiling (3,4,6,4) on the circles R(n) = sqrt(A249870(n) + A249871(n)* sqrt(3)) around any lattice point. First differences of A251627.
%C The squares of the increasing radii of the lattice point hitting circles for the Archimedean tiling (3,4,6,4) are given in A249870 and A249871.
%C See the notes given in a link under A251627.
%F a(n) = A251627(n) - A251627(n-1), for n >= 1 and a(0) = 1.
%e n = 4: on the circle with R(4) = sqrt(2 + sqrt(3)), approximately 1.932, around any lattice point lie a(4) = 4 points, namely in Cartesian coordinates, [+/-(1 + sqrt(3)/2), 1/2] and [+/-(1/2), -(1 + sqrt(3)/2)].
%Y Cf. A249870, A249871, A251627.
%K nonn,easy
%O 0,2
%A _Wolfdieter Lang_, Dec 09 2014
|
