A127468 Triangle read by rows: matrix product A127466*A054525.

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, -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, 0, 0, 0, 0, 0, 0, 0, 0, 110, 0, 12, 0, -24, 0, -24, 0, 0, 0, 0, 0, 48

Offset: 1

Author

Gary W. Adamson, Jan 15 2007

Keywords

• tabl
• sign

Comments

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

Examples

			First few rows of the triangle are:
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;
...
		

Crossrefs

Cf. A127466, A054525, A002618.

Programs

Maple

A127468 := proc(n,k)
    add( A127466(n,j)*A054525(j,k),j=k..n) ;
end proc: # R. J. Mathar, Sep 06 2013

Formula

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

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