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A307017
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List coordinates (x,y) of the points in an hexagonal grid, sorted first by radial coordinate r and in case of ties, by polar angle 0 <= phi < 2*Pi in a polar coordinate system. Sequence gives the third coordinate in a barycentric coordinate system.
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6
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0, 1, 1, 0, -1, -1, 0, 2, 1, -1, -2, -1, 1, 2, 2, 0, -2, -2, 0, 3, 3, 2, 1, -1, -2, -3, -3, -2, -1, 1, 2, 3, 3, 0, -3, -3, 0, 4, 2, -2, -4, -2, 2, 4, 4, 3, 1, -1, -3, -4, -4, -3, -1, 1, 3, 4, 4, 0, -4, -4, 0, 5, 5, 3, 2, -2, -3, -5, -5, -3, -2, 2, 3, 5, 5, 4, 1
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history;
text;
internal format)
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OFFSET
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0,8
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COMMENTS
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Cartesian coordinates (x,y) of the grid points are converted to barycentric coordinates (i,j,k) by i = x - y/sqrt(3), j = 2*y/sqrt(3), k = x + y/sqrt(3). The sequence gives k. i is given in A307014, j is given in A307016.
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LINKS
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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