A117163 Column 2 of triangle A117162; equals the Moebius transform of A008683 (column 1 of A117162) preceded by a zero.

0, 1, -1, -2, 0, -1, 1, 0, 1, -1, 1, 2, 0, -3, 2, 2, 0, -1, 0, 1, 0, -1, 1, 0, 0, -1, 1, 3, 0, -1, -1, -2, 0, 0, 0, 2, 0, -2, 2, 2, 0, 2, -1, 0, -2, -2, 1, -2, -1, 0, 1, 3, 0, -1, -1, 1, 1, 0, 1, -1, 0, -1, 0, 1, 0, 2, -1, 0, 0, 3, -1, -2, 0, -2, 0, 3, -2, 1, -1, -4, -1, -1, 1, -3, 0, 1, 2, 2, 0, 2, -1, 3, 2, -1, 1, 4, 0, 1, -1, 1, 0, -1

Offset: 1

Author

Wouter Meeussen and Paul D. Hanna, Mar 05 2006

Keywords

• sign

Comments

The inverse Moebius transform of A117164 (column 3 of A117162) equals this sequence preceded by a zero.

Crossrefs

Cf. A117162, A112682, A008683 (column 1); A117164 (column 3).

Formula

Equals the Moebius transform of column 1 preceded by a zero:

[0,1,-1,-2,0,-1,1,0,...] = Moebius([0, 1,-1,-1,0,-1,1,-1,...]).