|
%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
|
