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A059651
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a(n) = [[(k^2)*n]-(k*[k*n])], where k = cube root of 2 and [] is the floor function.
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2
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0, -1, 0, 0, -1, -1, 0, 0, -1, 0, -1, 0, 0, -1, 0, 0, -1, -1, 0, 1, -1, 0, -1, 0, 0, -1, 0, -1, -1, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 1, -1, 0, 0, 0, -1, 0, 0, -1, 0, -1, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, 0, -1, 0, 0, -1, 0, 0, -1, 0, 0, -1, -1, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, -1, -1, 0, 0, -1, 0, 0, 0, -1, 0, -1, 0, 0, -1, 0, 0
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OFFSET
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0,1
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COMMENTS
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The values of (floor((k^2)*j)-(k*(floor(k*j)))) for j=0..50, where k=2^(1/3), are 0, -0.259921, 0.480158, 0.220237, -0.299605, -0.559526, 0.180553, 0.92063, -0.59921, ...
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LINKS
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Table of n, a(n) for n=0..119.
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MAPLE
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Digits := 89; floor_diffs_floored(evalf(2^(1/3)), 120);
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CROSSREFS
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A059648 gives similar sequence for k=sqrt(2). Positions of +1's: A059657, positions of -1's A059659.
Sequence in context: A108736 A079813 A078580 * A286339 A244735 A245938
Adjacent sequences: A059648 A059649 A059650 * A059652 A059653 A059654
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KEYWORD
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sign
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AUTHOR
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Antti Karttunen, Feb 03 2001
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STATUS
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approved
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