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A143468 Triangle read by rows, A054525 * A127775, 1<=k<=n. 0
1, -1, 3, -1, 0, 5, 0, -3, 0, 7, -1, 0, 0, 0, 9, 1, -3, -5, 0, 0, 11, -1, 0, 0, 0, 0, 0, 13, 0, 0, 0, -7, 0, 0, 0, 15, 0, 0, -5, 0, 0, 0, 0, 0, 17, 1, -3, 0, 0, -9, 0, 0, 0, 0, 19, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Row sums = A140434: (1, 2, 4, 4, 8, 4, 12, 8, 12,...).

Left border = mu(n), A008683.

LINKS

Table of n, a(n) for n=1..66.

FORMULA

Triangle read by rows, A054525 * A127775, 1<=k<=n. Mobius transform of an infinite lower triangular matrix with (1, 3, 5, 7,...) in the main diagonal and the rest zeros.

EXAMPLE

First few rows of the triangle =

1;

-1, 3;

-1, 0, 5;

0, -3, 0, 7;

-1, 0, 0, 0, 9;

1, -3, -5, 0, 0, 11;

-1, 0, 0, 0, 0, 0, 13;

...

CROSSREFS

Cf. A127775, A054525, A140434, A008683.

Sequence in context: A207327 A319083 A045406 * A133728 A127627 A154792

Adjacent sequences:  A143465 A143466 A143467 * A143469 A143470 A143471

KEYWORD

tabl,sign

AUTHOR

Gary W. Adamson, Aug 17 2008

STATUS

approved

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Last modified January 18 13:30 EST 2020. Contains 331007 sequences. (Running on oeis4.)