A127468 - OEIS

%I #7 Sep 06 2013 19:30:27

%S 1,0,2,-3,0,6,0,-4,0,8,-15,0,0,0,20,0,-6,0,0,0,12,-35,0,0,0,0,0,42,0,

%T -8,0,-16,0,0,0,32,-9,0,-36,0,0,0,0,0,54,0,-30,0,0,0,0,0,0,0,40,-99,0,

%U 0,0,0,0,0,0,0,0,110,0,12,0,-24,0,-24,0,0,0,0,0,48

%N Triangle read by rows: matrix product A127466*A054525.

%C The row sums are n, the index of the row.

%F T(n,k) = sum_{j=k..n} A127466(n,j) * A054525(j,k).

%F T(n,n) = A002618(n).

%e First few rows of the triangle are:

%e 1;

%e 0, 2;

%e -3, 0, 6;

%e 0, -4, 0, 8;

%e -15, 0, 0, 0, 20;

%e 0, -6, 0, 0, 0, 12;

%e -35, 0, 0, 0, 0, 0, 42;

%e ...

%p A127468 := proc(n,k)

%p     add( A127466(n,j)*A054525(j,k),j=k..n) ;

%p end proc: # _R. J. Mathar_, Sep 06 2013

%Y Cf. A127466, A054525, A002618.

%K tabl,sign

%O 1,3

%A _Gary W. Adamson_, Jan 15 2007