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A176918 Triangle read by rows, a signed variant of A077049 * A128407; as infinite lower triangular matrices 3
1, -1, 0, -1, 0, 0, -1, 1, 0, 0, -1, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, -1, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row sums = mu(n), A008683

LINKS

Table of n, a(n) for n=1..74.

FORMULA

Given (-1)*triangle A077049, preface this with a "1" as row 1; = M.

Perform M * A128407 (the diagonalized variant of A008683); = A176918 as an

infinite lower triangular matrix.

EXAMPLE

First few rows of triangle A176918 =

1;

-1, 0;

-1, 0, 0;

-1, 1, 0, 0;

-1, 0, 0, 0, 0;

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

...

CROSSREFS

Cf. A077049, A128407, A008683, A176890 (another version).

Sequence in context: A189920 A318963 A295896 * A176890 A164057 A140820

Adjacent sequences:  A176915 A176916 A176917 * A176919 A176920 A176921

KEYWORD

tabl,sign

AUTHOR

Gary W. Adamson and Mats Granvik, Apr 29 2010

STATUS

approved

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Last modified August 11 11:55 EDT 2022. Contains 356065 sequences. (Running on oeis4.)