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A077052 Right Moebius transformation matrix, M, by antidiagonals. 3

%I #4 Mar 30 2012 18:57:04

%S 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,

%T 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,

%U -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

%N Right Moebius transformation matrix, M, by antidiagonals.

%C 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.

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

%e Northwest corner:

%e 1 -1 -1 0 -1 1

%e 0 1 0 -1 0 -1

%e 0 0 1 0 0 -1

%e 0 0 0 1 0 0

%e 0 0 0 0 1 0

%e 0 0 0 0 0 1

%Y Cf. A077049, A077050, A077051.

%K sign,tabl

%O 1,1

%A _Clark Kimberling_, Oct 22 2002

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