A143468 - OEIS

%I #2 Mar 30 2012 17:25:32

%S 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,

%T 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,

%U 0,0,0,0,0,21

%N Triangle read by rows, A054525 * A127775, 1<=k<=n.

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

%C Left border = mu(n), A008683.

%F 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.

%e First few rows of the triangle =

%e 1;

%e -1, 3;

%e -1, 0, 5;

%e 0, -3, 0, 7;

%e -1, 0, 0, 0, 9;

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

%e -1, 0, 0, 0, 0, 0, 13;

%e ...

%Y Cf. A127775, A054525, A140434, A008683.

%K tabl,sign

%O 1,3

%A _Gary W. Adamson_, Aug 17 2008