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

0,1

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).

Links

Table of n, a(n) for n=0..97.

Example

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

Crossrefs

Sequence in context: A323378 A054431 A164381 * A106465 A071027 A337264

Adjacent sequences: A106467 A106468 A106469 * A106471 A106472 A106473

Keyword

sign,tabl

Author

Paul Barry, May 03 2005

Status

approved