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A143424 Triangle read by rows, A054525 * A130123, 1<=k<=n. 2
1, -1, 2, -1, 0, 4, 0, -2, 0, 8, -1, 0, 0, 0, 16, 1, -2, -4, 0, 0, 32, -1, 0, 0, 0, 0, 0, 64, 0, 0, 0, -8, 0, 0, 0, 128, 0, 0, -4, 0, 0, 0, 0, 0, 256, 1, -2, 0, 0, -16, 0, 0, 0, 0, 512, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1024, 0, 2, 0, -8, 0, -32, 0, 0, 0, 0, 0, 2048 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Row sums = A000740 starting with offset 1: (1, 1, 3, 6, 15, 27, 63,...).

Left border = mu(n), A008683.

LINKS

Table of n, a(n) for n=1..78.

FORMULA

Mobius transform of A130123, where A130123 = an infinite lower triangular matrix with (1, 2, 4, 8,...) in the main diagonal and the rest zeros.

EXAMPLE

First few rows of the triangle =

1;

-1, 2;

-1, 0, 4;

0, -2, 0, 8;

-1, 0, 0, 0, 16;

1, -2, -4, 0, 0, 32;

-1, 0, 0, 0, 0, 0, 64;

0, 0, 0, -8, 0, 0, 0, 128;

...

CROSSREFS

Cf. A000740, A130123, A054525, A008683.

Sequence in context: A191897 A088850 A185964 * A130125 A317552 A214809

Adjacent sequences:  A143421 A143422 A143423 * A143425 A143426 A143427

KEYWORD

tabl,sign

AUTHOR

Gary W. Adamson, Aug 14 2008

STATUS

approved

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Last modified May 26 02:56 EDT 2020. Contains 334613 sequences. (Running on oeis4.)