A127711 Inverse of the triangle A(n,k) = 1/F(n+1) if k <= n <= 2k, 0 otherwise.

1, 0, 1, 0, -1, 2, 0, 1, -2, 3, 0, 0, 0, -3, 5, 0, -1, 2, 0, -5, 8, 0, 0, 0, 0, 0, -8, 13, 0, 1, -2, 3, 0, 0, -13, 21, 0, 0, 0, 0, 0, 0, 0, -21, 34, 0, 0, 0, -3, 5, 0, 0, 0, -34, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, -55, 89, 0, -1, 2, 0, -5, 8, 0, 0, 0, 0, -89, 144

Offset

0,6

Comments

It is conjectured that all elements of this triangle are integers. Row sums are A127712.

Links

Table of n, a(n) for n=0..77.

Example

Triangle begins
  1;
  0,  1;
  0, -1,  2;
  0,  1, -2,  3;
  0,  0,  0, -3,  5;
  0, -1,  2,  0, -5,  8;
  0,  0,  0,  0,  0, -8,  13;
  0,  1, -2,  3,  0,  0, -13,  21;
  0,  0,  0,  0,  0,  0,   0, -21,  34;
  0,  0,  0, -3,  5,  0,   0,   0, -34,  55;
  0,  0,  0,  0,  0,  0,   0,   0,   0, -55,  89;
  0, -1,  2,  0, -5,  8,   0,   0,   0,   0, -89,  144;
  0,  0,  0,  0,  0,  0,   0,   0,   0,   0,   0, -144, 233;
Triangle is the inverse of the triangle
  1;
  0,  1;
  0, 1/2, 1/2;
  0,  0,  1/3, 1/3;
  0,  0,  1/5, 1/5,  1/5;
  0,  0,   0,  1/8,  1/8,  1/8;
  0,  0,   0,  1/13, 1/13, 1/13, 1/13;
  0,  0,   0,   0,   1/21, 1/21, 1/21, 1/21;
  0,  0,   0,   0,   1/34, 1/34, 1/34, 1/34, 1/34;

Crossrefs

Sequence in context: A327853 A080099 A268040 * A336937 A069584 A069585

Adjacent sequences: A127708 A127709 A127710 * A127712 A127713 A127714

Keyword

sign,tabl

Author

Paul Barry, Jan 24 2007

Status

approved