A143445 - OEIS

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

%S 1,1,2,1,0,5,1,2,0,7,1,0,0,0,12,1,2,5,0,0,15,1,0,0,0,0,0,22,1,2,0,7,0,

%T 0,0,26,1,0,5,0,0,0,0,0,35,1,2,0,0,12,0,0,0,0,40,1,0,0,0,0,0,0,0,0,0,

%U 51,1,2,5,7,0,15,0,0,0,0,0,57

%N Triangle read by rows, A051731 * (A001318 * 0^(n-k)); 1<=k<=n.

%C Row sums = A079248: (1, 3, 6, 10, 13, 23,...)

%F Triangle read by rows, A051731 * (A001318 * 0^(n-k)); 1<=k<=n. A051731 = the inverse Mobius transform and (A001318 * 0^(n-k)) = an infinite lower triangular matrix with A001318 (1, 2, 5, 7, 12, 15, 22,...) in the main diagonal and the rest zeros.

%e First few rows of the triangle =

%e 1;

%e 1, 2;

%e 1, 0, 5;

%e 1, 2, 0, 7;

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

%e 1, 2, 5, 0, 0, 15;

%e ...

%Y Cf. A051731, A001318, A079248.

%K nonn,tabl

%O 1,3

%A _Gary W. Adamson_, Aug 15 2008