A143110 - OEIS

%I #2 Mar 31 2012 20:25:00

%S 1,1,2,1,0,1,1,2,0,2,1,0,0,0,1,1,2,1,0,0,2,1,0,0,0,0,0,1,1,2,0,2,0,0,

%T 0,2,1,0,1,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,2,

%U 1,2,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,2

%N Triangle read by rows, A051731 * A000034 * 0^(n-k), 1<=k<=n.

%C Row sums = A069735: (1, 3, 2, 5, 2, 6, 2, 7,...).

%C T(n,k) = 2 if k is even and divides n, 1 if k is odd and divides n; 0 otherwise.

%F Triangle read by rows, A051731 * A000034 * 0^(n-k), 1<=k<=n; where A051731 = the inverse Mobius transform and A000034 = (1, 2, 1, 2, 1, 2,...).

%e First few rows of the triangle are:

%e 1;

%e 1, 2;

%e 1, 0, 1;

%e 1, 2, 0, 2;

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

%e 1, 2, 1, 0, 0, 2;

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

%e ...

%Y Cf. A051731, A000034, A069735.

%K nonn,tabl

%O 1,3

%A Gary W. Adamson & _Mats Granvik_, Jul 25 2008