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A143353 Triangle read by rows, A127172 * A128407 = (A051731)^3 * A128407, 1<=k<=n. +0
2
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; listen)
OFFSET

1,2

COMMENT

Left border = A007425.

Right border = mu(n), A008683.

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

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: A167274 A131088 A136157 this_sequence A127172 A011087 A091422

Adjacent sequences: A143350 A143351 A143352 this_sequence A143354 A143355 A143356

KEYWORD

tabl,sign

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 10 2008

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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