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A251628
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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.
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4
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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, 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, 4, 4, 4, 4, 4, 2, 2, 2, 6, 4, 2, 4, 4
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OFFSET
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0,2
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COMMENTS
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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.
See the notes given in a link under A251627.
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LINKS
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Table of n, a(n) for n=0..80.
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FORMULA
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a(n) = A251627(n) - A251627(n-1), for n >= 1 and a(0) = 1.
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EXAMPLE
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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)].
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CROSSREFS
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Cf. A249870, A249871, A251627.
Sequence in context: A275745 A053879 A216671 * A170988 A141035 A100854
Adjacent sequences: A251625 A251626 A251627 * A251629 A251630 A251631
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang, Dec 09 2014
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STATUS
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approved
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