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A140703 A000012 * A051731^3. 1

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

%S 1,4,1,7,1,1,13,4,1,1,16,4,1,1,1,25,7,4,1,1,1,28,7,4,1,1,1,1,38,13,4,

%T 4,1,1,1,1,44,13,7,4,1,1,1,1,1,53,16,7,4,4,1,1,1,1,1,56,16,7,4,4,1,1,

%U 1,1,1,1

%N A000012 * A051731^3.

%C Row sums = A061202: (1, 5, 9, 19, 23, 39,...).

%C Leftmost column = A061201: (1, 4, 7, 13, 16, 25, 28,...).

%F A000012 * A051731^3 as infinite lower triangular matrices, where A000012 = [1; 1,1; 1,1,1;...] and A051731 = the inverse Mobius transform.

%e First few rows of the triangle are:

%e 1;

%e 4, 1;

%e 7, 1, 1;

%e 13, 4, 1, 1;

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

%e 25, 7, 4, 1, 1, 1;

%e 28, 7, 4, 1, 1, 1, 1;

%e 38, 13, 4, 4, 1, 1, 1, 1;

%e ...

%Y Cf. A051731, A061202, A061201.

%K nonn,tabl

%O 1,2

%A _Gary W. Adamson_, May 24 2008

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