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A143353 Triangle read by rows, A127172 * A128407 = (A051731)^3 * A128407, 1<=k<=n. 1
1, 3, -1, 3, 0, -1, 6, -3, 0, 0, 3, 0, 0, 0, -1, 9, -3, -3, 0, 0, 1, 3, 0, 0, 0, 0, 0, -1, 10, -6, 0, 0, 0, 0, 0, 0, 6, 0, -3, 0, 0, 0, 0, 0, 0, 9, -3, 0, 0, -3, 0, 0, 0, 0, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 18, -9, -6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 9, -3, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Left border = A007425.

Right border = mu(n), A008683.

Row sums = d(n), A000010: (1, 2, 2, 3, 2, 4, 2,...).

LINKS

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

FORMULA

Triangle read by rows, A127172 * A128407 = (A051731)^3 * A128407, 1<=k<=n

EXAMPLE

First few rows of the triangle =

1;

3, -1;

3, 0, -1;

6, -3, 0, 0;

3, 0, 0, 0, -1;

9, -3, -3, 0, 0, 1;

3, 0, 0, 0, 0, 0, -1;

10, -6, 0, 0, 0, 0, 0, 0;

6, 0, -3, 0, 0, 0, 0, 0, 0;

9, -3, 0, 0, -3, 0, 0, 0, 0, 1;

...

CROSSREFS

Cf. A007425, A127172, A128407, A051731, A000010, A008683.

Sequence in context: A131088 A136157 A266260 * A127172 A011087 A180021

Adjacent sequences:  A143350 A143351 A143352 * A143354 A143355 A143356

KEYWORD

tabl,sign

AUTHOR

Gary W. Adamson, Aug 10 2008

STATUS

approved

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Last modified February 21 22:56 EST 2018. Contains 299427 sequences. (Running on oeis4.)