A292047 Triangle read by rows: T(n,k) = (-1)^k * T(n-k,k-1) + T(n-k,k) with T(0,0) = 1 for 0 <= k <= A003056(n).

1, 0, -1, 0, -1, 0, -1, -1, 0, -1, -1, 0, -1, -2, 0, -1, -2, 1, 0, -1, -3, 1, 0, -1, -3, 2, 0, -1, -4, 3, 0, -1, -4, 4, 1, 0, -1, -5, 5, 1, 0, -1, -5, 7, 2, 0, -1, -6, 8, 3, 0, -1, -6, 10, 5, 0, -1, -7, 12, 6, -1, 0, -1, -7, 14, 9, -1, 0, -1, -8, 16, 11, -2, 0, -1

Offset

0,14

Links

Seiichi Manyama, Rows n = 0..481, flattened

Example

First few rows are:
  1;
  0, -1;
  0, -1;
  0, -1, -1;
  0, -1, -1;
  0, -1, -2;
  0, -1, -2, 1;
  0, -1, -3, 1;
  0, -1, -3, 2;
  0, -1, -4, 3;
  0, -1, -4, 4, 1.

Crossrefs

Row sums give A278399.

Columns 0-1 give A000007, (-1)*A000012.

Cf. A292049.

Sequence in context: A117170 A117466 A136266 * A292049 A320341 A054523

Adjacent sequences: A292044 A292045 A292046 * A292048 A292049 A292050

Keyword

sign,tabf,look

Author

Seiichi Manyama, Sep 08 2017

Status

approved