A157361 - OEIS

%I #2 Mar 30 2012 17:25:34

%S 1,1,1,1,0,2,1,1,0,1,1,0,0,0,4,1,1,2,0,0,2,1,0,0,0,0,0,6,1,1,0,1,0,0,

%T 0,2,1,0,2,0,0,0,0,0,4,1,1,0,0,4,0,0,0,0,4,1,0,0,0,0,0,0,0,0,0,10,1,1,

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

%N Triangle read by rows, A051731 * (A114810 * 0^(n-k))

%C Row sums = A055653: (1, 2, 3, 3, 5, 6, 7, 5,...)

%F Triangle read by rows, A051731 * (A114810 * 0^(n-k)); where A051731 = the inverse Mobius transform and (A114810 * 0^(n-k)) = an infinite lower triangular matrix with A114810 as the main diagonal: (1, 1, 2, 1, 4, 2, 6,...) and the rest zeros.

%e First few rows of the triangle =

%e 1;

%e 1, 1;

%e 1, 0, 2;

%e 1, 1, 0, 1;

%e 1, 0, 0, 0, 4;

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

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

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

%e 1, 0, 2, 0, 0, 0, 0, 0, 4;

%e 1, 1, 0, 0, 4, 0, 0, 0, 0, 4;

%e 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10;

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

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

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

%e ...

%Y Cf. A114810, A055653

%K nonn,tabl

%O 1,6

%A _Gary W. Adamson_, Feb 28 2009