login
Triangle T(n,m) = A126988 *A127093 read by rows.
4

%I #7 Jul 05 2014 14:27:27

%S 1,3,2,4,0,3,7,6,0,4,6,0,0,0,5,12,8,9,0,0,6,8,0,0,0,0,0,7,15,14,0,12,

%T 0,0,0,8,13,0,12,0,0,0,0,0,9,18,12,0,0,15,0,0,0,0,10,12,0,0,0,0,0,0,0,

%U 0,0,11,28,24,21,16,0,18,0,0,0,0,0,12,14,0,0,0,0,0,0,0,0,0,0,0,13,24,16,0,0

%N Triangle T(n,m) = A126988 *A127093 read by rows.

%C Multiply the infinite lower triangular matrices A126988 and A127093.

%F T(n,m) = sum_{j=m..n} A126988(n,j)*A127093(j,m).

%F T(n,1) = A000203(n).

%e First few rows of the triangle are:

%e 1;

%e 3, 2;

%e 4, 0, 3;

%e 7, 6, 0, 4;

%e 6, 0, 0, 0, 5;

%e 12, 8, 9, 0, 0, 6;

%e 8, 0, 0, 0, 0, 0, 7;

%e 15, 14, 0, 12, 0, 0, 0, 8;

%e 13, 0, 12, 0, 0, 0, 0, 0, 9;

%e 18, 12, 0, 0, 15, 0, 0, 0, 0, 10;

%e ...

%Y Cf. A060640 (row sums), A000203, A127093, A127094, A123229, A127096, A127097, A127098, A127013, A127057.

%K nonn,tabl

%O 1,2

%A _Gary W. Adamson_, Jan 05 2007

%E Extended by _R. J. Mathar_, Aug 18 2009