A106467 Inverse of number triangle A106465.

1, -1, 1, -1, 0, 1, 1, -1, -1, 1, 0, 0, -1, 0, 1, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1

Offset: 0

Author

Paul Barry, May 03 2005

Keywords

• sign
• tabl

Comments

A 'mixed' sequence array : rows alternate between the rows of the sequence array for the sequence (1,0,-1,0,0,0...) and the sequence array for the sequence (1,-1,-1,1,0,0,0,...). Column 2k has g.f. x^2k(1-x-x^2+x^3); column 2k+1 has g.f. x^(2k+1)(1-x^2). Row sums are 0^n=binomial(0,n)=(1,0,0,0,....). Diagonal sums are (1,-1,0,1,0,-1,...) with g.f. (1-x+x^2)/(1+x^2).

Examples

			Triangle begins
1;
-1,1;
-1,0,1;
1,-1,-1,1;
0,0,-1,0,1;
0,0,1,-1,1,1;
0,0,0,0,-1,0,1;