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A059651 a(n) = [[(k^2)*n]-(k*[k*n])], where k = cube root of 2 and [] is the floor function. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
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, ...
LINKS
MAPLE
Digits := 89; floor_diffs_floored(evalf(2^(1/3)), 120);
CROSSREFS
A059648 gives similar sequence for k=sqrt(2). Positions of +1's: A059657, positions of -1's A059659.
Sequence in context: A362240 A079813 A078580 * A286339 A244735 A245938
KEYWORD
sign
AUTHOR
Antti Karttunen, Feb 03 2001
STATUS
approved

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)