A140704 - OEIS

%I #2 Mar 30 2012 17:25:28

%S 1,4,1,4,1,1,10,4,1,1,4,1,1,1,1,16,7,4,1,1,1,4,1,1,1,1,1,1,20,10,4,4,

%T 1,1,1,1,10,4,4,1,1,1,1,1,1,16,7,4,4,4,1,1,1,1,1,4,1,1,1,1,1,1,1,1,1,

%U 1,40,22,13,7,4,4,1,1,1,1,1,1

%N A051731^3 * A000012.

%C Row sums = A007430: (1, 5, 6, 16, 8, 30, 10,...).

%C Left column = A007426: (1, 4, 4, 10, 4, 16, 4,...).

%F A051731^3 * A000012 as infinite lower triangular matrices, where A051731 = the inverse Mobius transform and A000012 an infinite lower triangular matrix with all 1's.

%e First few rows of the triangle are:

%e 1;

%e 4, 1;

%e 4, 1, 1;

%e 10, 4, 1, 1;

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

%e 16, 7, 4, 1, 1, 1;

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

%e 20, 10, 4, 4, 1, 1, 1, 1;

%e 10, 4, 4, 1, 1, 1, 1, 1, 1;

%e ...

%Y Cf. A051731, A007430, A007426.

%K nonn,tabl

%O 1,2

%A _Gary W. Adamson_, May 24 2008