A128257 Inverse Moebius transform of A097807.

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

Offset

0,4

Comments

Row sums = A001227: (1, 1, 2, 1, 2, 2, 2,...), number of odd divisors of n.

Links

Table of n, a(n) for n=0..90.

Formula

A051731 * A097807 as infinite lower triangular matrices.

Example

First few rows of the triangle are:
1;
0, 1;
2, -1, 1;
-1, 2, -1, 1;
2, -1, 1, -1, 1;
0, 1, 0, 1, -1, 1;
...

Crossrefs

Cf. A001227, A051731, A097807.

Sequence in context: A300719 A341998 A083894 * A198254 A309059 A368712

Adjacent sequences: A128254 A128255 A128256 * A128258 A128259 A128260

Keyword

tabl,sign

Author

Gary W. Adamson, Feb 21 2007

Extensions

a(18) = 1 corrected and more terms from Georg Fischer, Jun 08 2023

Status

approved