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A077052 Right Moebius transformation matrix, M, by antidiagonals. 3
1, 0, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

If S=(s(1),s(2),...) is a sequence written as a row vector, then S*M is the Moebius transform of S; i.e. its n-th term is Sum{mu(k)*s(k): k|n}. M is the transpose of the left Moebius transformation matrix, A077050.

LINKS

Table of n, a(n) for n=1..96.

FORMULA

M=T^(-1), where T is the right summatory matrix, A077051.

EXAMPLE

Northwest corner:

1 -1 -1 0 -1 1

0 1 0 -1 0 -1

0 0 1 0 0 -1

0 0 0 1 0 0

0 0 0 0 1 0

0 0 0 0 0 1

CROSSREFS

Cf. A077049, A077050, A077051.

Sequence in context: A179761 A102863 A131483 * A133566 A185907 A321016

Adjacent sequences:  A077049 A077050 A077051 * A077053 A077054 A077055

KEYWORD

sign,tabl

AUTHOR

Clark Kimberling, Oct 22 2002

STATUS

approved

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Last modified May 16 21:28 EDT 2021. Contains 343951 sequences. (Running on oeis4.)