%I A143353
%S A143353 1,3,1,3,0,1,6,3,0,0,3,0,0,0,1,9,3,3,0,0,1,3,0,0,0,0,0,1,10,6,0,0,0,0,
               0,
%T A143353 0,6,0,3,0,0,0,0,0,0,9,3,0,0,3,0,0,0,0,1,3,0,0,0,0,0,0,0,0,0,1,18,9,6,
               0,
%U A143353 0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,9,3,0,0,0,0,3,0,0,0,0,0,0,1
%V A143353 1,3,-1,3,0,-1,6,-3,0,0,3,0,0,0,-1,9,-3,-3,0,0,1,3,0,0,0,0,0,-1,10,-6,
               0,0,0,0,0,0,6,0,
%W A143353 -3,0,0,0,0,0,0,9,-3,0,0,-3,0,0,0,0,1,3,0,0,0,0,0,0,0,0,0,-1,18,-9,-6,
               0,0,3,0,0,0,0,0,
%X A143353 0,3,0,0,0,0,0,0,0,0,0,0,0,-1,9,-3,0,0,0,0,-3,0,0,0,0,0,0,1
%N A143353 Triangle read by rows, A127172 * A128407 = (A051731)^3 * A128407, 1<=k<=n.
%C A143353 Left border = A007425.
%C A143353 Right border = mu(n), A008683.
%C A143353 Row sums = d(n), A000010: (1, 2, 2, 3, 2, 4, 2,...).
%F A143353 Triangle read by rows, A127172 * A128407 = (A051731)^3 * A128407, 1<=k<=n
%e A143353 First few rows of the triangle =
%e A143353 1;
%e A143353 3, -1;
%e A143353 3, 0, -1;
%e A143353 6, -3, 0, 0;
%e A143353 3, 0, 0, 0, -1;
%e A143353 9, -3, -3, 0, 0, 1;
%e A143353 3, 0, 0, 0, 0, 0, -1;
%e A143353 10, -6, 0, 0, 0, 0, 0, 0;
%e A143353 6, 0, -3, 0, 0, 0, 0, 0, 0;
%e A143353 9, -3, 0, 0, -3, 0, 0, 0, 0, 1;
%e A143353 ...
%Y A143353 Cf. A007425, A127172, A128407, A051731, A000010, A008683.
%Y A143353 Sequence in context: A167274 A131088 A136157 this_sequence A127172 A011087 
               A091422
%Y A143353 Adjacent sequences: A143350 A143351 A143352 this_sequence A143354 A143355 
               A143356
%K A143353 tabl,sign
%O A143353 1,2
%A A143353 Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 10 2008