A059657 -id:A059657 - cp's OEIS frontend

A059658 First differences of A059657.

27, 46, 46, 12, 46, 73, 31, 15, 12, 46, 46, 58, 15, 46, 12, 46, 58, 46, 27, 46, 46, 12, 46, 27, 46, 46, 58, 46, 27, 31, 15, 46, 12, 46, 58, 61, 12, 46, 46, 58, 27, 34, 12, 46, 58, 27, 46, 31, 15, 46, 12, 46, 73, 46, 12, 46, 104, 15, 12, 34, 12, 46, 58, 27, 46, 46, 58, 46, 27

Offset: 1

Antti Karttunen, Feb 03 2001

nonn

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

Original entry on oeis.org

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

Antti Karttunen, Feb 03 2001

sign

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, ...

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

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

cp's OEIS Frontend

A059658 First differences of A059657.

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

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Author

Keywords

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Crossrefs

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Maple

cp's OEIS Frontend

A059658 First differences of A059657.

Views

Author

Keywords

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

Views

Author

Keywords

Comments

Crossrefs

Programs

Maple

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