A143518 Triangle read by rows, A054525 * (A010051 * 0^(n-k)), 1<=k<=n.

0, 0, 1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1

Offset

1,1

Comments

Row sums = A143519: (0, 1, 1, -1, 1, -2, 1, 0, -1,...)

Links

Table of n, a(n) for n=1..66.

Formula

Triangle read by rows, A054525 * A010051, 1<=k<=n. A054525 = the Mobius transform. A010051 * 0^(n-k) = an infinite lower triangular matrix with A010051, the characteristic function of the primes (0, 1, 1, 0, 1, 0, 1,...) as the main diagonal and the rest zeros.

Example

First few rows of the triangle =
0;
0, 1;
0, 0, 1;
0, -1, 0, 0;
0, 0, 0, 0, 1;
0, -1, -1, 0, 0, 0;
0, 0, 0, 0, 0, 0, 1;
...

Crossrefs

Cf. A010051, A054525.

Sequence in context: A188297 A289128 A272664 * A122414 A288216 A189628

Adjacent sequences: A143515 A143516 A143517 * A143519 A143520 A143521

Keyword

tabl,sign

Author

Gary W. Adamson, Aug 22 2008

Status

approved