A117164 Column 3 of triangle A117162; equals the Moebius transform of A117163 (column 2 of A117162) preceded by a zero.

0, 0, 1, -1, -2, -1, -1, 2, -1, 3, -1, 2, 2, 1, -2, 1, 2, 1, -1, 0, 1, 1, -1, -2, 2, -2, -1, 2, 3, 1, -1, -3, -2, -2, 3, -1, 2, 1, -5, 0, 2, -1, 2, 0, 4, -1, -2, -1, -1, -4, -3, 2, 3, 1, 2, -4, 1, -2, 0, 0, -1, 1, -1, 1, 1, 2, 2, 0, 0, -4, 3, -1, -2, -2, -1, 1, 5, 3, 1, -4, -3, -3, -1, -2, -3, -2, -3, 1, 2, -4, 1, 2, 3, 4, 2, 3, 4, 1, 4

Offset: 1

Author

Wouter Meeussen and Paul D. Hanna, Mar 05 2006

Keywords

• sign

Comments

The inverse Moebius transform of column 4 of A117162 equals

this sequence preceded by a zero.

Crossrefs

Cf. A117162, A112682, A008683 (Moebius); A117163 (column 2).

Formula

Equals the Moebius transform of column 2 preceded by a zero:

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