A106470 Inverse of number triangle A106468.

1, -1, 1, -1, 0, 1, 1, -1, -1, 1, 1, 0, -1, 0, 1, -1, 1, 1, -1, -1, 1, -1, 0, 1, 0, -1, 0, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 0, -1, 0, 1, 0, -1, 0, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, -1, 1, 1, -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,-1,-1,1,1,-1,-1,.. with g.f. (1-x)/(1+x^2) and the sequence array for the sequence 1,0,-1,0,-1,... with g.f. 1/(1+x^2). Column 2k has g.f. x^2k(1-x)/(1+x^2) column 2k+1 has g.f. x^(2k+1)/(1+x^2). Row sums are 1,0,0,0,1,0,0,0,1,.. with g.f. 1/(1-x^4).

Examples

			Triangle begins:
  1;
  -1, 1;
  -1, 0, 1;
  1, -1, -1, 1;
  1, 0, -1, 0, 1;
  -1, 1, 1, -1, -1, 1;
  ...