A143276 Triangle read by rows: A054525 * A054523 as infinite lower triangular matrices.

1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 3, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 5, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 4, 0, 1, 0, 0, 0, 0, 0, 1, 0, 3, 0, 0, 0, 0, 0, 0, 0, 1, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1

Offset

1,11

Comments

Row sums = phi(n), A000010: (1, 1, 2, 2, 4, 2, 6,...).

Left border = A007431: (1, 0, 1, 1, 3, 0, 5, 2, 4,...).

Links

Table of n, a(n) for n=1..105.

Formula

Moebius transform of triangle A054523.

Example

First few rows of the triangle =
1;
0, 1;
1, 0, 1;
1, 0, 0, 1;
3, 0, 0, 0, 1;
0, 1, 0, 0, 0, 1;
5, 0, 0, 0, 0, 0, 1;
2, 1, 0, 0, 0, 0, 0, 1;
...

Crossrefs

Cf. A000010, A007431, A054523, A054525.

Sequence in context: A359780 A085393 A128980 * A096693 A193139 A378440

Adjacent sequences: A143273 A143274 A143275 * A143277 A143278 A143279

Keyword

nonn,tabl

Author

Gary W. Adamson, Aug 03 2008

Extensions

a(17), a(18) corrected by Georg Fischer, May 29 2023

Status

approved