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A130161 A054525 * A036989 as a diagonalized matrix. +0
1
1, -1, 2, -1, 0, 1, 0, -2, 0, 3, -1, 0, 0, 0, 1, 1, -2, -1, 0, 0, 2, -1, 0, 0, 0, 0, 0, 2, 0, 0, 0, -3, 0, 0, 0, 4, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, -2, 0, 0, -1, 0, 0, 0, 0, 2 (list; table; graph; listen)
OFFSET

0,3

COMMENT

Left border = mu(n), A008683. Right border = A036989, (1, 2, 1, 3, 1, 2, 2, 4, 1, 2,...) = the inverse Moebius transform (A051731) of the Thue-Morse sequence, offset 1: (1, 1, 0, 1, 0, 0, 1,...). Row sums = the Thue-Morse sequence starting with "1".

FORMULA

Moebius transform of an infinite lower triangular matrix with A036989 in the main diagonal and the rest zeros.

EXAMPLE

First few rows of the triangle are:

1;

-1, 2;

-1, 0, 1;

0, -2, 0, 3;

-1, 0, 0, 0, 1;

1, -2, -1, 0, 0, 2;

-1, 0, 0, 0, 0, 0, 2;

...

CROSSREFS

Cf. A036989, A051731, A054525, A010060, A008683.

Sequence in context: A062756 A165577 A116422 this_sequence A115672 A079694 A068906

Adjacent sequences: A130158 A130159 A130160 this_sequence A130162 A130163 A130164

KEYWORD

tabl,sign

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), May 13 2007

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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