A130160 - OEIS

%I #4 Feb 20 2022 14:41:14

%S 1,1,1,1,0,3,1,1,0,5,1,0,0,0,7,1,1,3,0,0,6,1,0,0,0,0,0,12,1,1,0,5,0,0,

%T 0,7,1,0,3,0,0,0,0,0,12,1,1,0,0,7,0,0,0,0,10

%N A051731 * A130159 as a diagonalized matrix.

%C Right border = A130159, the Moebius transform of the Odious numbers, A000069: (1, 2, 4, 7, 8, 11, ...) = (1, 1, 3, 5, 7, 6, 12, ...). Row sums = A000069.

%F Inverse Moebius transform (A051731) of an infinite lower triangular matrix with A130159 in the main diagonal and rest zeros.

%e First few rows of the triangle:

%e   1;

%e   1,  1;

%e   1,  0,  3;

%e   1,  1,  0,  5;

%e   1,  0,  0,  0,  7;

%e   1,  1,  3,  0,  0,  6;

%e   1,  0,  0,  0,  0,  0, 12;

%e   ...

%Y Cf. A130159, A000069, A051731.

%K nonn,tabl

%O 1,6

%A _Gary W. Adamson_, May 13 2007