A143354 Triangle read by rows, (A051731)^4 * A128407, 1<=k<=n.

1, 4, -1, 4, 0, -1, 10, -4, 0, 0, 4, 0, 0, 0, -1, 16, -4, -4, 0, 0, 1, 4, 0, 0, 0, 0, 0, -1, 20, -10, 0, 0, 0, 0, 0, 0, 10, 0, -4, 0, 0, 0, 0, 0, 0, 16, -4, 0, 0, -4, 0, 0, 0, 0, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, -16, -10, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1

Offset

1,2

Comments

Left border = A007426.

Right border = mu(n), A008683.

Row sums = A007425: (1, 3, 3, 6, 3, 9,...).

Links

Table of n, a(n) for n=1..90.

Formula

Triangle read by rows, (A051731)^4 * A128407, 1<=k<=n

Example

First few rows of the triangle =
1;
4, -1;
4, 0, -1;
10, -4, 0, 0;
4, 0, 0, 0, 0, -1;
16, -4, -4, 0, 0, 1;
4, 0, 0, 0, 0, 0, -1;
10, -10, 0, 0, 0, 0, 0, 0;
...

Crossrefs

Cf. A051731, A128407, A007425, A007426, A008683.

Sequence in context: A229672 A298568 A152890 * A324026 A171539 A106141

Adjacent sequences: A143351 A143352 A143353 * A143355 A143356 A143357

Keyword

tabl,sign

Author

Gary W. Adamson, Aug 10 2008

Status

approved