A059651 a(n) = [[(k^2)*n]-(k*[k*n])], where k = cube root of 2 and [] is the floor function.

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

Offset: 0

Author

Antti Karttunen, Feb 03 2001

Keywords

• sign

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, ...

Crossrefs

A059648 gives similar sequence for k=sqrt(2). Positions of +1's: A059657, positions of -1's A059659.

Programs

Maple

Digits := 89; floor_diffs_floored(evalf(2^(1/3)),120);