A146314 Inverse of Riordan array A127543.

1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, -2, -1, 1, 1, 1, -5, -5, -2, 1, 1, 1, -9, -10, -8, -3, 1, 1, 1, -14, -14, -14, -11, -4, 1, 1, 1, -20, -14, -14, -17, -14, -5, 1, 1, 1, -27, -6, 0, -9, -19, -17, -6, 1, 1

Offset: 0

Author

Philippe Deléham, Oct 29 2008

Keywords

• easy
• sign
• tabl

Comments

A007318*A109466 as infinite lower triangular matrices.

Riordan array (1/(1-x), x*(1-2*x)/(1-x)^2). - Philippe Deléham, Jan 27 2014

Examples

			Triangle begins :
1;
1, 1;
1, 1, 1;
1, 0, 1, 1;
1, -2, -1, 1, 1;
1, -5, -5, -2, 1, 1;
1, -9, -10, -8, -3, 1, 1;
1, -14, -14, -14, -11, -4, 1, 1;
1, -20, -14, -14, -17, -14, -5, 1, 1;
1, -27, -6, 0, -9, -19, -17, -6, 1, 1;...
		

Crossrefs

Cf. A124341

Formula

Number triangle T(n,k)=Sum_{j=0..n, (-1)^(n-j)*C(k,n-j)*C(n,j-k)}.