%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
|